Search a number
-
+
232001880 = 233511175759
BaseRepresentation
bin11011101010000…
…01000101011000
3121011112220202020
431311001011120
5433343030010
635004334440
75514661215
oct1565010530
9534486666
10232001880
11109a604a0
1265844420
13390b0526
1422b52b0c
151557b470
hexdd41158

232001880 has 64 divisors (see below), whose sum is σ = 759283200. Its totient is φ = 56242560.

The previous prime is 232001879. The next prime is 232001881. The reversal of 232001880 is 88100232.

It is an interprime number because it is at equal distance from previous prime (232001879) and next prime (232001881).

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

It is a self number, because there is not a number n which added to its sum of digits gives 232001880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232001881) 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, 86560 + ... + 89199.

It is an arithmetic number, because the mean of its divisors is an integer number (11863800).

Almost surely, 2232001880 is an apocalyptic number.

232001880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232001880 is an abundant number, since it is smaller than the sum of its proper divisors (527281320).

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

232001880 is a wasteful number, since it uses less digits than its factorization.

232001880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175784 (or 175780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 232001880 is about 15231.6079256262. The cubic root of 232001880 is about 614.4650248901.

The spelling of 232001880 in words is "two hundred thirty-two million, one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 175759 351518 527277 703036 878795 1054554 1406072 1757590 1933349 2109108 2636385 3515180 3866698 4218216 5272770 5800047 7030360 7733396 9666745 10545540 11600094 15466792 19333490 21091080 23200188 29000235 38666980 46400376 58000470 77333960 116000940 232001880