[go: up one dir, main page]

Search a number
-
+
231172224 = 2732920759
BaseRepresentation
bin11011100011101…
…10100010000000
3121002222202200020
431301312202000
5433140002344
634534453440
75504634333
oct1561664200
9532882606
10231172224
11109544128
1265504280
1338b7c9ca
14229b861a
1515465719
hexdc76880

231172224 has 64 divisors (see below), whose sum is σ = 635256000. Its totient is φ = 74396672.

The previous prime is 231172217. The next prime is 231172231. The reversal of 231172224 is 422271132.

It is an interprime number because it is at equal distance from previous prime (231172217) and next prime (231172231).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 231172194 and 231172203.

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, 757 + ... + 21515.

It is an arithmetic number, because the mean of its divisors is an integer number (9925875).

Almost surely, 2231172224 is an apocalyptic number.

231172224 is a gapful number since it is divisible by the number (24) 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 231172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317628000).

231172224 is an abundant number, since it is smaller than the sum of its proper divisors (404083776).

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

231172224 is a wasteful number, since it uses less digits than its factorization.

231172224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20805 (or 20793 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 231172224 is about 15204.3488515622. The cubic root of 231172224 is about 613.7316924810.

The spelling of 231172224 in words is "two hundred thirty-one million, one hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 20759 41518 62277 83036 124554 166072 249108 332144 498216 602011 664288 996432 1204022 1328576 1806033 1992864 2408044 2657152 3612066 3985728 4816088 7224132 7971456 9632176 14448264 19264352 28896528 38528704 57793056 77057408 115586112 231172224