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232455020 = 225722310313
BaseRepresentation
bin11011101101011…
…11101101101100
3121012101221100012
431312233231230
5434002030040
635022152352
75521556300
oct1566575554
9535357305
10232455020
1110a23a996
1265a226b8
133920b865
1422c2dd00
151561a865
hexddafb6c

232455020 has 72 divisors (see below), whose sum is σ = 592601184. Its totient is φ = 76226304.

The previous prime is 232455007. The next prime is 232455023. The reversal of 232455020 is 20554232.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (232455023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17384 + ... + 27696.

It is an arithmetic number, because the mean of its divisors is an integer number (8230572).

Almost surely, 2232455020 is an apocalyptic number.

232455020 is a gapful number since it is divisible by the number (20) 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 232455020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296300592).

232455020 is an abundant number, since it is smaller than the sum of its proper divisors (360146164).

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

232455020 is a wasteful number, since it uses less digits than its factorization.

232455020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359 (or 10350 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 232455020 is about 15246.4756583284. The cubic root of 232455020 is about 614.8648170499.

The spelling of 232455020 in words is "two hundred thirty-two million, four hundred fifty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 4508 5635 10313 11270 20626 22540 41252 51565 72191 103130 144382 206260 237199 288764 360955 474398 505337 721910 948796 1010674 1185995 1443820 1660393 2021348 2371990 2526685 3320786 4743980 5053370 6641572 8301965 10106740 11622751 16603930 23245502 33207860 46491004 58113755 116227510 232455020