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232231020 = 223571793089
BaseRepresentation
bin11011101011110…
…01000001101100
3121011222120001220
431311321001230
5433422343040
635013303340
75516634240
oct1565710154
9534876056
10232231020
1110a0a766a
1265934b50
1339160908
1422bb2420
15155c42d0
hexdd7906c

232231020 has 96 divisors (see below), whose sum is σ = 747532800. Its totient is φ = 52767744.

The previous prime is 232231019. The next prime is 232231037. The reversal of 232231020 is 20132232.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 73636 + ... + 76724.

It is an arithmetic number, because the mean of its divisors is an integer number (7786800).

Almost surely, 2232231020 is an apocalyptic number.

232231020 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 232231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373766400).

232231020 is an abundant number, since it is smaller than the sum of its proper divisors (515301780).

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

232231020 is a wasteful number, since it uses less digits than its factorization.

232231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232231020 is about 15239.1279278048. The cubic root of 232231020 is about 614.6672534055.

Adding to 232231020 its reverse (20132232), we get a palindrome (252363252).

The spelling of 232231020 in words is "two hundred thirty-two million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 179 210 358 420 537 716 895 1074 1253 1790 2148 2506 2685 3089 3580 3759 5012 5370 6178 6265 7518 9267 10740 12356 12530 15036 15445 18534 18795 21623 25060 30890 37068 37590 43246 46335 61780 64869 75180 86492 92670 108115 129738 185340 216230 259476 324345 432460 552931 648690 1105862 1297380 1658793 2211724 2764655 3317586 3870517 5529310 6635172 7741034 8293965 11058620 11611551 15482068 16587930 19352585 23223102 33175860 38705170 46446204 58057755 77410340 116115510 232231020