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233053240 = 23571971617
BaseRepresentation
bin11011110010000…
…01110000111000
3121020112022221111
431321001300320
5434130200430
635043050104
75526630340
oct1571016070
9536468844
10233053240
1110a609392
1266070934
133938ac34
1422d47d20
15156d7c2a
hexde41c38

233053240 has 128 divisors (see below), whose sum is σ = 640742400. Its totient is φ = 74511360.

The previous prime is 233053237. The next prime is 233053253. The reversal of 233053240 is 42350332.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 377412 + ... + 378028.

It is an arithmetic number, because the mean of its divisors is an integer number (5005800).

Almost surely, 2233053240 is an apocalyptic number.

233053240 is a gapful number since it is divisible by the number (20) 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 233053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320371200).

233053240 is an abundant number, since it is smaller than the sum of its proper divisors (407689160).

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

233053240 is a wasteful number, since it uses less digits than its factorization.

233053240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 233053240 is about 15266.0813570477. The cubic root of 233053240 is about 615.3918141305.

The spelling of 233053240 in words is "two hundred thirty-three million, fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 71 76 95 133 140 142 152 190 266 280 284 355 380 497 532 568 617 665 710 760 994 1064 1234 1330 1349 1420 1988 2468 2485 2660 2698 2840 3085 3976 4319 4936 4970 5320 5396 6170 6745 8638 9443 9940 10792 11723 12340 13490 17276 18886 19880 21595 23446 24680 26980 34552 37772 43190 43807 46892 47215 53960 58615 75544 82061 86380 87614 93784 94430 117230 164122 172760 175228 188860 219035 234460 306649 328244 350456 377720 410305 438070 468920 613298 656488 820610 832333 876140 1226596 1533245 1641220 1664666 1752280 2453192 3066490 3282440 3329332 4161665 5826331 6132980 6658664 8323330 11652662 12265960 16646660 23305324 29131655 33293320 46610648 58263310 116526620 233053240