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212155425540 = 2232537131924151
BaseRepresentation
bin1100010110010101110…
…0101110001100000100
3202021121110212021121100
43011211130232030010
511433443242104130
6241243551020100
721220260235302
oct3054534561404
9667543767540
10212155425540
1181a7a230333
123514a50a630
1317010732276
14a3a85db272
1557ba696c60
hex316572e304

212155425540 has 144 divisors (see below), whose sum is σ = 661459518720. Its totient is φ = 55001721600.

The previous prime is 212155425527. The next prime is 212155425553. The reversal of 212155425540 is 45524551212.

212155425540 is a `hidden beast` number, since 2 + 1 + 21 + 5 + 542 + 55 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (212155425527) and next prime (212155425553).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212155425495 and 212155425504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8772465 + ... + 8796615.

It is an arithmetic number, because the mean of its divisors is an integer number (4593468880).

Almost surely, 2212155425540 is an apocalyptic number.

212155425540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212155425540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330729759360).

212155425540 is an abundant number, since it is smaller than the sum of its proper divisors (449304093180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212155425540 is a wasteful number, since it uses less digits than its factorization.

212155425540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25522 (or 25517 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 212155425540 its reverse (45524551212), we get a palindrome (257679976752).

The spelling of 212155425540 in words is "two hundred twelve billion, one hundred fifty-five million, four hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1319 1332 1665 2220 2638 3330 3957 5276 6595 6660 7914 11871 13190 15828 19785 23742 24151 26380 39570 47484 48302 48803 59355 72453 79140 96604 97606 118710 120755 144906 146409 195212 217359 237420 241510 244015 289812 292818 362265 434718 439227 483020 488030 585636 724530 732045 869436 878454 893587 976060 1086795 1449060 1464090 1756908 1787174 2173590 2196135 2680761 2928180 3574348 4347180 4392270 4467935 5361522 8042283 8784540 8935870 10723044 13403805 16084566 17871740 26807610 31855169 32169132 40211415 53615220 63710338 80422830 95565507 127420676 159275845 160845660 191131014 286696521 318551690 382262028 477827535 573393042 637103380 955655070 1146786084 1178641253 1433482605 1911310140 2357282506 2866965210 3535923759 4714565012 5733930420 5893206265 7071847518 10607771277 11786412530 14143695036 17679618795 21215542554 23572825060 35359237590 42431085108 53038856385 70718475180 106077712770 212155425540