Search a number
-
+
232319472 = 243711239263
BaseRepresentation
bin11011101100011…
…10100111110000
3121012011001101220
431312032213300
5433433210342
635015225040
75520453150
oct1566164760
9535131356
10232319472
1110a158070
1265978180
1339191c58
1422bd6760
15155e05ec
hexdd8e9f0

232319472 has 160 divisors (see below), whose sum is σ = 754237440. Its totient is φ = 59861760.

The previous prime is 232319471. The next prime is 232319491. The reversal of 232319472 is 274913232.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232319471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883213 + ... + 883475.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 2232319472 is an apocalyptic number.

232319472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232319472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377118720).

232319472 is an abundant number, since it is smaller than the sum of its proper divisors (521917968).

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

232319472 is a wasteful number, since it uses less digits than its factorization.

232319472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 232319472 is about 15242.0297860882. The cubic root of 232319472 is about 614.7452815213.

The spelling of 232319472 in words is "two hundred thirty-two million, three hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 239 263 264 308 336 462 478 526 528 616 717 789 924 956 1052 1232 1434 1578 1673 1841 1848 1912 2104 2629 2868 2893 3156 3346 3682 3696 3824 4208 5019 5258 5523 5736 5786 6312 6692 7364 7887 8679 10038 10516 11046 11472 11572 12624 13384 14728 15774 17358 18403 20076 20251 21032 22092 23144 26768 29456 31548 34716 36806 40152 40502 42064 44184 46288 55209 60753 62857 63096 69432 73612 80304 81004 88368 110418 121506 125714 126192 138864 147224 162008 188571 220836 243012 251428 294448 324016 377142 439999 441672 486024 502856 691427 754284 879998 883344 972048 1005712 1319997 1382854 1508568 1759996 2074281 2639994 2765708 3017136 3519992 4148562 4839989 5279988 5531416 7039984 8297124 9679978 10559976 11062832 14519967 16594248 19359956 21119952 29039934 33188496 38719912 58079868 77439824 116159736 232319472