Search a number
-
+
232284672 = 29351867
BaseRepresentation
bin11011101100001…
…10001000000000
3121012002021200000
431312012020000
5433431102142
635014400000
75520246534
oct1566061000
9535067600
10232284672
1110a133a04
1265960000
133917c169
1422bc7bc4
15155d514c
hexdd86200

232284672 has 120 divisors (see below), whose sum is σ = 695590896. Its totient is φ = 77386752.

The previous prime is 232284653. The next prime is 232284691. The reversal of 232284672 is 276482232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232284653) and next prime (232284691).

It is a super-2 number, since 2×2322846722 = 107912337692295168, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123483 + ... + 125349.

Almost surely, 2232284672 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 232284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347795448).

232284672 is an abundant number, since it is smaller than the sum of its proper divisors (463306224).

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

232284672 is an frugal number, since it uses more digits than its factorization.

232284672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1872 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 232284672 is about 15240.8881630960. Note that the first 3 decimals coincide. The cubic root of 232284672 is about 614.7145849925.

The spelling of 232284672 in words is "two hundred thirty-two million, two hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1867 1944 2304 2592 3456 3734 3888 4608 5184 5601 6912 7468 7776 10368 11202 13824 14936 15552 16803 20736 22404 29872 31104 33606 41472 44808 50409 59744 62208 67212 89616 100818 119488 124416 134424 151227 179232 201636 238976 268848 302454 358464 403272 453681 477952 537696 604908 716928 806544 907362 955904 1075392 1209816 1433856 1613088 1814724 2150784 2419632 2867712 3226176 3629448 4301568 4839264 6452352 7258896 8603136 9678528 12904704 14517792 19357056 25809408 29035584 38714112 58071168 77428224 116142336 232284672