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212235814840 = 23572593182603
BaseRepresentation
bin1100010110101000111…
…1011000011110111000
3202021211002010110222211
43011222033120132320
511434124332033330
6241255542024504
721222254442400
oct3055217303670
9667732113884
10212235814840
1182010647a75
1235171418134
131702429a8ba
14a3b5165800
1557c2775d2a
hex316a3d87b8

212235814840 has 96 divisors (see below), whose sum is σ = 556434560880. Its totient is φ = 72643458048.

The previous prime is 212235814793. The next prime is 212235814873. The reversal of 212235814840 is 48418532212.

It is a happy number.

It is a super-2 number, since 2×2122358148402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 212235814793 and 212235814802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1070979 + ... + 1253581.

Almost surely, 2212235814840 is an apocalyptic number.

212235814840 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 212235814840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278217280440).

212235814840 is an abundant number, since it is smaller than the sum of its proper divisors (344198746040).

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

212235814840 is a wasteful number, since it uses less digits than its factorization.

212235814840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183221 (or 183210 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 212235814840 in words is "two hundred twelve billion, two hundred thirty-five million, eight hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 593 980 1186 1960 2372 2965 4151 4744 5930 8302 11860 16604 20755 23720 29057 33208 41510 58114 83020 116228 145285 166040 182603 232456 290570 365206 581140 730412 913015 1162280 1278221 1460824 1826030 2556442 3652060 5112884 6391105 7304120 8947547 10225768 12782210 17895094 25564420 35790188 44737735 51128840 71580376 89475470 108283579 178950940 216567158 357901880 433134316 541417895 757985053 866268632 1082835790 1515970106 2165671580 3031940212 3789925265 4331343160 5305895371 6063880424 7579850530 10611790742 15159701060 21223581484 26529476855 30319402120 42447162968 53058953710 106117907420 212235814840