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2152333404 = 2233132416361
BaseRepresentation
bin1000000001001010…
…0000000001011100
312112222222212101000
42000102200001130
513401444132104
6553323550300
7104223350334
oct20022400134
95488885330
102152333404
11a04a32a41
1250098b390
13283bb2380
14165bd00c4
15c8e53639
hex804a005c

2152333404 has 96 divisors (see below), whose sum is σ = 6035247680. Its totient is φ = 659404800.

The previous prime is 2152333349. The next prime is 2152333409. The reversal of 2152333404 is 4043332512.

2152333404 is a `hidden beast` number, since 21 + 5 + 233 + 3 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152333409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335184 + ... + 341544.

Almost surely, 22152333404 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 2152333404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017623840).

2152333404 is an abundant number, since it is smaller than the sum of its proper divisors (3882914276).

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

2152333404 is a wasteful number, since it uses less digits than its factorization.

2152333404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6628 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2152333404 is about 46393.2473965770. The cubic root of 2152333404 is about 1291.1296324679.

Adding to 2152333404 its reverse (4043332512), we get a palindrome (6195665916).

The spelling of 2152333404 in words is "two billion, one hundred fifty-two million, three hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 241 351 468 482 702 723 964 1404 1446 2169 2892 3133 4338 6266 6361 6507 8676 9399 12532 12722 13014 18798 19083 25444 26028 28197 37596 38166 56394 57249 76332 82693 84591 112788 114498 165386 169182 171747 228996 248079 330772 338364 343494 496158 686988 744237 992316 1488474 1533001 2232711 2976948 3066002 4465422 4599003 6132004 8930844 9198006 13797009 18396012 19929013 27594018 39858026 41391027 55188036 59787039 79716052 82782054 119574078 165564108 179361117 239148156 358722234 538083351 717444468 1076166702 2152333404