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332431220 = 2251119671187
BaseRepresentation
bin10011110100000…
…111111101110100
3212011112020220102
4103310013331310
51140100244340
652553053232
711144422142
oct2364077564
9764466812
10332431220
11160715550
12933b7218
1353b44584
1432216592
151e2b8215
hex13d07f74

332431220 has 96 divisors (see below), whose sum is σ = 814302720. Its totient is φ = 112717440.

The previous prime is 332431217. The next prime is 332431241. The reversal of 332431220 is 22134233.

It is a super-2 number, since 2×3324312202 = 221021032061376800, which contains 22 as substring.

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 = 332431192 and 332431201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279467 + ... + 280653.

It is an arithmetic number, because the mean of its divisors is an integer number (8482320).

Almost surely, 2332431220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407151360).

332431220 is an abundant number, since it is smaller than the sum of its proper divisors (481871500).

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

332431220 is a wasteful number, since it uses less digits than its factorization.

332431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 332431220 is about 18232.6964544469. The cubic root of 332431220 is about 692.7352187870.

Adding to 332431220 its reverse (22134233), we get a palindrome (354565453).

The spelling of 332431220 in words is "three hundred thirty-two million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 67 76 95 110 134 190 209 220 268 335 380 418 670 737 836 1045 1187 1273 1340 1474 2090 2374 2546 2948 3685 4180 4748 5092 5935 6365 7370 11870 12730 13057 14003 14740 22553 23740 25460 26114 28006 45106 52228 56012 65285 70015 79529 90212 112765 130570 140030 159058 225530 248083 261140 280060 318116 397645 451060 496166 795290 874819 992332 1240415 1511051 1590580 1749638 2480830 3022102 3499276 4374095 4961660 6044204 7555255 8748190 15110510 16621561 17496380 30221020 33243122 66486244 83107805 166215610 332431220