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213202244420 = 225112834012647
BaseRepresentation
bin1100011010001111011…
…0000001001101000100
3202101022102122012010222
43012203312001031010
511443114233310140
6241535504003512
721255231114344
oct3064366011504
9671272565128
10213202244420
1182467121900
12353a1000598
1317149582919
14a467654d24
15582c5255b5
hex31a3d81344

213202244420 has 144 divisors (see below), whose sum is σ = 499487071104. Its totient is φ = 76374144000.

The previous prime is 213202244371. The next prime is 213202244441. The reversal of 213202244420 is 24442202312.

It is a super-2 number, since 2×2132022444202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213202244420.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80543537 + ... + 80546183.

It is an arithmetic number, because the mean of its divisors is an integer number (3468660216).

Almost surely, 2213202244420 is an apocalyptic number.

213202244420 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 213202244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249743535552).

213202244420 is an abundant number, since it is smaller than the sum of its proper divisors (286284826684).

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

213202244420 is a wasteful number, since it uses less digits than its factorization.

213202244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 213202244420 its reverse (24442202312), we get a palindrome (237644446732).

The spelling of 213202244420 in words is "two hundred thirteen billion, two hundred two million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 121 166 220 242 332 401 415 484 605 802 830 913 1210 1604 1660 1826 2005 2420 2647 3652 4010 4411 4565 5294 8020 8822 9130 10043 10588 13235 17644 18260 20086 22055 26470 29117 33283 40172 44110 48521 50215 52940 58234 66566 88220 97042 100430 116468 133132 145585 166415 194084 200860 219701 242605 291170 320287 332830 366113 439402 485210 582340 640574 665660 732226 878804 970420 1061447 1098505 1281148 1464452 1601435 1830565 2122894 2197010 2416711 3202870 3661130 4027243 4245788 4394020 4833422 5307235 6405740 7322260 8054486 9666844 10614470 11675917 12083555 16108972 20136215 21228940 23351834 24167110 26583821 40272430 46703668 48334220 53167642 58379585 80544860 88100101 106335284 116759170 128435087 132919105 176200202 233518340 256870174 265838210 352400404 440500505 513740348 531676420 642175435 881001010 969101111 1284350870 1762002020 1938202222 2568701740 3876404444 4845505555 9691011110 10660112221 19382022220 21320224442 42640448884 53300561105 106601122210 213202244420