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230157504 = 2633235791
BaseRepresentation
bin11011011011111…
…10110011000000
3121001002012202000
431231332303000
5432410020004
634501024000
75463210063
oct1555766300
9531065660
10230157504
11108a10815
12650b5000
13388b5b95
14227d28da
1515314c39
hexdb7ecc0

230157504 has 112 divisors (see below), whose sum is σ = 706160640. Its totient is φ = 73370880.

The previous prime is 230157503. The next prime is 230157553. The reversal of 230157504 is 405751032.

It is a happy number.

230157504 is a `hidden beast` number, since 2 + 3 + 0 + 157 + 504 = 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 (230157503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36849 + ... + 42639.

Almost surely, 2230157504 is an apocalyptic number.

230157504 is a gapful number since it is divisible by the number (24) 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 230157504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353080320).

230157504 is an abundant number, since it is smaller than the sum of its proper divisors (476003136).

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

230157504 is a wasteful number, since it uses less digits than its factorization.

230157504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 230157504 is about 15170.9427525121. The cubic root of 230157504 is about 612.8323929003.

The spelling of 230157504 in words is "two hundred thirty million, one hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 5791 6624 9936 11582 13248 17373 19872 23164 34746 39744 46328 52119 69492 92656 104238 133193 138984 156357 185312 208476 266386 277968 312714 370624 399579 416952 532772 555936 625428 799158 833904 1065544 1111872 1198737 1250856 1598316 1667808 2131088 2397474 2501712 3196632 3335616 3596211 4262176 4794948 5003424 6393264 7192422 8524352 9589896 10006848 12786528 14384844 19179792 25573056 28769688 38359584 57539376 76719168 115078752 230157504