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232420520 = 23523257983
BaseRepresentation
bin11011101101001…
…11010010101000
3121012100012000102
431312213102220
5433444424040
635021324532
75521353563
oct1566472250
9535305012
10232420520
1110a216a82
1265a06748
13391c8c47
1422c214da
1515610515
hexdda74a8

232420520 has 64 divisors (see below), whose sum is σ = 548363520. Its totient is φ = 88489984.

The previous prime is 232420519. The next prime is 232420561. The reversal of 232420520 is 25024232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232420492 and 232420501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235949 + ... + 236931.

It is an arithmetic number, because the mean of its divisors is an integer number (8568180).

Almost surely, 2232420520 is an apocalyptic number.

232420520 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 232420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274181760).

232420520 is an abundant number, since it is smaller than the sum of its proper divisors (315943000).

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

232420520 is a wasteful number, since it uses less digits than its factorization.

232420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 232420520 is about 15245.3442073310. The cubic root of 232420520 is about 614.8343969917.

Adding to 232420520 its reverse (25024232), we get a palindrome (257444752).

The spelling of 232420520 in words is "two hundred thirty-two million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 257 460 514 920 983 1028 1285 1966 2056 2570 3932 4915 5140 5911 7864 9830 10280 11822 19660 22609 23644 29555 39320 45218 47288 59110 90436 113045 118220 180872 226090 236440 252631 452180 505262 904360 1010524 1263155 2021048 2526310 5052620 5810513 10105240 11621026 23242052 29052565 46484104 58105130 116210260 232420520