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2152631196 = 22323161103307
BaseRepresentation
bin1000000001001110…
…1000101110011100
312120000112222212100
42000103220232130
513402033144241
6553334205100
7104226030462
oct20023505634
95500488770
102152631196
11a05116751
12500ab3790
13283c87a91
14165c6a832
15c8eb19b6
hex804e8b9c

2152631196 has 144 divisors (see below), whose sum is σ = 5783185408. Its totient is φ = 674179200.

The previous prime is 2152631189. The next prime is 2152631197. The reversal of 2152631196 is 6911362512.

2152631196 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 631 + 19 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2152631196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152631197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7011675 + ... + 7011981.

Almost surely, 22152631196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152631196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891592704).

2152631196 is an abundant number, since it is smaller than the sum of its proper divisors (3630554212).

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

2152631196 is a wasteful number, since it uses less digits than its factorization.

2152631196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 2152631196 is about 46396.4567181590. The cubic root of 2152631196 is about 1291.1891756508.

The spelling of 2152631196 in words is "two billion, one hundred fifty-two million, six hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 103 122 124 183 186 206 244 279 307 309 366 372 412 549 558 614 618 732 921 927 1098 1116 1228 1236 1842 1854 1891 2196 2763 3193 3684 3708 3782 5526 5673 6283 6386 7564 9517 9579 11052 11346 12566 12772 17019 18727 18849 19034 19158 22692 25132 28551 28737 31621 34038 37454 37698 38068 38316 56181 56547 57102 57474 63242 68076 74908 75396 85653 94863 112362 113094 114204 114948 126484 168543 171306 189726 194773 224724 226188 284589 337086 342612 379452 389546 569178 580537 584319 674172 779092 980251 1138356 1161074 1168638 1741611 1752957 1928881 1960502 2322148 2337276 2940753 3483222 3505914 3857762 3921004 5224833 5786643 5881506 6966444 7011828 7715524 8822259 10449666 11573286 11763012 17359929 17644518 20899332 23146572 34719858 35289036 59795311 69439716 119590622 179385933 239181244 358771866 538157799 717543732 1076315598 2152631196