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233053056 = 27321012003
BaseRepresentation
bin11011110010000…
…01101110000000
3121020112022200200
431321001232000
5434130144211
635043045200
75526626655
oct1571015600
9536468620
10233053056
1110a609235
1266070800
133938ab22
1422d47c2c
15156d7b56
hexde41b80

233053056 has 96 divisors (see below), whose sum is σ = 677612520. Its totient is φ = 76876800.

The previous prime is 233053039. The next prime is 233053057. The reversal of 233053056 is 650350332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233053057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115351 + ... + 117353.

Almost surely, 2233053056 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 233053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338806260).

233053056 is an abundant number, since it is smaller than the sum of its proper divisors (444559464).

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

233053056 is a wasteful number, since it uses less digits than its factorization.

233053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2109 counting only the distinct ones).

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

The square root of 233053056 is about 15266.0753306146. The cubic root of 233053056 is about 615.3916521759.

The spelling of 233053056 in words is "two hundred thirty-three million, fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 288 303 384 404 576 606 808 909 1152 1212 1616 1818 2003 2424 3232 3636 4006 4848 6009 6464 7272 8012 9696 12018 12928 14544 16024 18027 19392 24036 29088 32048 36054 38784 48072 58176 64096 72108 96144 116352 128192 144216 192288 202303 256384 288432 384576 404606 576864 606909 769152 809212 1153728 1213818 1618424 1820727 2307456 2427636 3236848 3641454 4855272 6473696 7282908 9710544 12947392 14565816 19421088 25894784 29131632 38842176 58263264 77684352 116526528 233053056