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233872896 = 2931071423
BaseRepresentation
bin11011111000010…
…01111000000000
3121022001222022010
431330021320000
5434332413041
635112412520
75536613115
oct1574117000
9538058263
10233872896
11110019194
12663a7140
13395b703a
14230bc90c
15157eaa16
hexdf09e00

233872896 has 80 divisors (see below), whose sum is σ = 629316864. Its totient is φ = 77174784.

The previous prime is 233872883. The next prime is 233872931. The reversal of 233872896 is 698278332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163641 + ... + 165063.

Almost surely, 2233872896 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 233872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314658432).

233872896 is an abundant number, since it is smaller than the sum of its proper divisors (395443968).

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

233872896 is a wasteful number, since it uses less digits than its factorization.

233872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1535 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 233872896 is about 15292.9034522552. The cubic root of 233872896 is about 616.1124211526.

The spelling of 233872896 in words is "two hundred thirty-three million, eight hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1284 1423 1536 1712 2568 2846 3424 4269 5136 5692 6848 8538 10272 11384 13696 17076 20544 22768 27392 34152 41088 45536 54784 68304 82176 91072 136608 152261 164352 182144 273216 304522 364288 456783 546432 609044 728576 913566 1092864 1218088 1827132 2185728 2436176 3654264 4872352 7308528 9744704 14617056 19489408 29234112 38978816 58468224 77957632 116936448 233872896