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232120020 = 223511438179
BaseRepresentation
bin11011101010111…
…01111011010100
3121011202220210210
431311131323110
5433410320040
635011045420
75515662516
oct1565357324
9534686723
10232120020
1110a031230
12658a0870
1339122232
1422b83bb6
15155a1480
hexdd5ded4

232120020 has 96 divisors (see below), whose sum is σ = 725598720. Its totient is φ = 54956160.

The previous prime is 232120013. The next prime is 232120037. The reversal of 232120020 is 20021232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 232119978 and 232120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24291 + ... + 32469.

It is an arithmetic number, because the mean of its divisors is an integer number (7558320).

Almost surely, 2232120020 is an apocalyptic number.

232120020 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 232120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362799360).

232120020 is an abundant number, since it is smaller than the sum of its proper divisors (493478700).

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

232120020 is a wasteful number, since it uses less digits than its factorization.

232120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8245 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 232120020 is about 15235.4855518293. The cubic root of 232120020 is about 614.5693064870.

Adding to 232120020 its reverse (20021232), we get a palindrome (252141252).

The spelling of 232120020 in words is "two hundred thirty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 8179 9460 14190 16358 24537 28380 32716 40895 49074 81790 89969 98148 122685 163580 179938 245370 269907 351697 359876 449845 490740 539814 703394 899690 1055091 1079628 1349535 1406788 1758485 1799380 2110182 2699070 3516970 3868667 4220364 5275455 5398140 7033940 7737334 10550910 11606001 15474668 19343335 21101820 23212002 38686670 46424004 58030005 77373340 116060010 232120020