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233149896 = 233272320113
BaseRepresentation
bin11011110010110…
…01010111001000
3121020201020112100
431321121113020
5434141244041
635045113400
75530512210
oct1571312710
9536636470
10233149896
1110a674a71
12660b8860
13393c2c25
1422d71240
15157066b6
hexde595c8

233149896 has 96 divisors (see below), whose sum is σ = 753068160. Its totient is φ = 63714816.

The previous prime is 233149841. The next prime is 233149909. The reversal of 233149896 is 698941332.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 1536 + ... + 21648.

It is an arithmetic number, because the mean of its divisors is an integer number (7844460).

Almost surely, 2233149896 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 233149896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376534080).

233149896 is an abundant number, since it is smaller than the sum of its proper divisors (519918264).

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

233149896 is a wasteful number, since it uses less digits than its factorization.

233149896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20155 (or 20148 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 233149896 is about 15269.2467397708. The cubic root of 233149896 is about 615.4768777981.

The spelling of 233149896 in words is "two hundred thirty-three million, one hundred forty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 20113 40226 60339 80452 120678 140791 160904 181017 241356 281582 362034 422373 462599 482712 563164 724068 844746 925198 1126328 1267119 1387797 1448136 1689492 1850396 2534238 2775594 3238193 3378984 3700792 4163391 5068476 5551188 6476386 8326782 9714579 10136952 11102376 12952772 16653564 19429158 25905544 29143737 33307128 38858316 58287474 77716632 116574948 233149896