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232842816 = 26331271061
BaseRepresentation
bin11011110000011…
…10011001000000
3121020010122022000
431320032121000
5434101432231
635034344000
75525063013
oct1570163100
9536118260
10232842816
1110a485288
1265b8b000
133931621b
1422cd137a
15156956e6
hexde0e640

232842816 has 112 divisors (see below), whose sum is σ = 690554880. Its totient is φ = 76930560.

The previous prime is 232842809. The next prime is 232842817. The reversal of 232842816 is 618248232.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (232842817) 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, 218926 + ... + 219986.

Almost surely, 2232842816 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 232842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345277440).

232842816 is an abundant number, since it is smaller than the sum of its proper divisors (457712064).

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

232842816 is a wasteful number, since it uses less digits than its factorization.

232842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1193 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 232842816 is about 15259.1879207250. The cubic root of 232842816 is about 615.2065457346.

The spelling of 232842816 in words is "two hundred thirty-two million, eight hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 144 192 216 254 288 381 432 508 576 762 864 1016 1061 1143 1524 1728 2032 2122 2286 3048 3183 3429 4064 4244 4572 6096 6366 6858 8128 8488 9144 9549 12192 12732 13716 16976 18288 19098 24384 25464 27432 28647 33952 36576 38196 50928 54864 57294 67904 73152 76392 101856 109728 114588 134747 152784 203712 219456 229176 269494 305568 404241 458352 538988 611136 808482 916704 1077976 1212723 1616964 1833408 2155952 2425446 3233928 3638169 4311904 4850892 6467856 7276338 8623808 9701784 12935712 14552676 19403568 25871424 29105352 38807136 58210704 77614272 116421408 232842816