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232528080 = 24351950993
BaseRepresentation
bin11011101110000…
…01100011010000
3121012112122120010
431313001203100
5434011344310
635023514520
75522312301
oct1567014320
9535478503
10232528080
1110a28a874
1265a58a40
1339235ba5
1422c4c7a8
1515632320
hexddc18d0

232528080 has 80 divisors (see below), whose sum is σ = 758790720. Its totient is φ = 58742784.

The previous prime is 232528063. The next prime is 232528081. The reversal of 232528080 is 80825232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232528081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20937 + ... + 30056.

It is an arithmetic number, because the mean of its divisors is an integer number (9484884).

Almost surely, 2232528080 is an apocalyptic number.

232528080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232528080 is an abundant number, since it is smaller than the sum of its proper divisors (526262640).

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

232528080 is a wasteful number, since it uses less digits than its factorization.

232528080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51028 (or 51022 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 232528080 is about 15248.8714336504. The cubic root of 232528080 is about 614.9292270995.

The spelling of 232528080 in words is "two hundred thirty-two million, five hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 50993 101986 152979 203972 254965 305958 407944 509930 611916 764895 815888 968867 1019860 1223832 1529790 1937734 2039720 2447664 2906601 3059580 3875468 4079440 4844335 5813202 6119160 7750936 9688670 11626404 12238320 14533005 15501872 19377340 23252808 29066010 38754680 46505616 58132020 77509360 116264040 232528080