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2155303332 = 22327131514357
BaseRepresentation
bin1000000001110111…
…0101000110100100
312120012120202100100
42000131311012210
513403224201312
6553511344100
7104260530120
oct20035650644
95505522310
102155303332
11a06681326
12501982030
132846b2120
14166364580
15c933d5dc
hex807751a4

2155303332 has 144 divisors (see below), whose sum is σ = 6751343872. Its totient is φ = 564537600.

The previous prime is 2155303331. The next prime is 2155303421. The reversal of 2155303332 is 2333035512.

2155303332 is a `hidden beast` number, since 21 + 5 + 5 + 303 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2155303296 and 2155303305.

It is not an unprimeable number, because it can be changed into a prime (2155303331) 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, 492498 + ... + 496854.

Almost surely, 22155303332 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 2155303332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375671936).

2155303332 is an abundant number, since it is smaller than the sum of its proper divisors (4596040540).

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

2155303332 is a wasteful number, since it uses less digits than its factorization.

2155303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 2155303332 is about 46425.2445550909. The cubic root of 2155303332 is about 1291.7232207515.

Adding to 2155303332 its reverse (2333035512), we get a palindrome (4488338844).

The spelling of 2155303332 in words is "two billion, one hundred fifty-five million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 151 156 182 234 252 273 302 364 453 468 546 604 819 906 1057 1092 1359 1638 1812 1963 2114 2718 3171 3276 3926 4228 4357 5436 5889 6342 7852 8714 9513 11778 12684 13071 13741 17428 17667 19026 23556 26142 27482 30499 35334 38052 39213 41223 52284 54964 56641 60998 70668 78426 82446 91497 113282 121996 123669 156852 164892 169923 182994 226564 247338 274491 339846 365988 396487 494676 509769 548982 657907 679692 792974 1019538 1097964 1189461 1315814 1585948 1973721 2039076 2378922 2631628 3568383 3947442 4605349 4757844 5921163 7136766 7894884 8552791 9210698 11842326 13816047 14273532 17105582 18421396 23684652 25658373 27632094 34211164 41448141 51316746 55264188 59869537 76975119 82896282 102633492 119739074 153950238 165792564 179608611 239478148 307900476 359217222 538825833 718434444 1077651666 2155303332