Search a number
-
+
234971136 = 213323187
BaseRepresentation
bin11100000000101…
…10000000000000
3121101010202210200
432000112000000
5440123034021
635152125200
75552136021
oct1600260000
9541122720
10234971136
111106a9324
1266836800
13398acb9a
14232c6c48
1515966126
hexe016000

234971136 has 84 divisors (see below), whose sum is σ = 678977052. Its totient is φ = 78299136.

The previous prime is 234971117. The next prime is 234971141. The reversal of 234971136 is 631179432.

It is a super-2 number, since 2×2349711362 = 110422869506260992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 234971136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72135 + ... + 75321.

Almost surely, 2234971136 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 234971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339488526).

234971136 is an abundant number, since it is smaller than the sum of its proper divisors (444005916).

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

234971136 is an equidigital number, since it uses as much as digits as its factorization.

234971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3192 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 234971136 is about 15328.7682479709. The cubic root of 234971136 is about 617.0753130076.

The spelling of 234971136 in words is "two hundred thirty-four million, nine hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3187 4096 4608 6144 6374 8192 9216 9561 12288 12748 18432 19122 24576 25496 28683 36864 38244 50992 57366 73728 76488 101984 114732 152976 203968 229464 305952 407936 458928 611904 815872 917856 1223808 1631744 1835712 2447616 3263488 3671424 4895232 6526976 7342848 9790464 13053952 14685696 19580928 26107904 29371392 39161856 58742784 78323712 117485568 234971136