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332630220 = 2235132511699
BaseRepresentation
bin10011110100111…
…000100011001100
3212011220100212210
4103310320203030
51140123131340
653001230420
711146211256
oct2364704314
9764810783
10332630220
1116084100a
1293492410
1353bb4020
1432268cd6
151e307180
hex13d388cc

332630220 has 96 divisors (see below), whose sum is σ = 1007596800. Its totient is φ = 81504000.

The previous prime is 332630201. The next prime is 332630227. The reversal of 332630220 is 22036233.

It is a super-2 number, since 2×3326302202 = 221285726514496800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332630227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194931 + ... + 196629.

It is an arithmetic number, because the mean of its divisors is an integer number (10495800).

Almost surely, 2332630220 is an apocalyptic number.

332630220 is a gapful number since it is divisible by the number (30) 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 332630220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503798400).

332630220 is an abundant number, since it is smaller than the sum of its proper divisors (674966580).

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

332630220 is a wasteful number, since it uses less digits than its factorization.

332630220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 332630220 is about 18238.1528669983. The cubic root of 332630220 is about 692.8734196157.

Adding to 332630220 its reverse (22036233), we get a palindrome (354666453).

The spelling of 332630220 in words is "three hundred thirty-two million, six hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 251 260 390 502 753 780 1004 1255 1506 1699 2510 3012 3263 3398 3765 5020 5097 6526 6796 7530 8495 9789 10194 13052 15060 16315 16990 19578 20388 22087 25485 32630 33980 39156 44174 48945 50970 65260 66261 88348 97890 101940 110435 132522 195780 220870 265044 331305 426449 441740 662610 852898 1279347 1325220 1705796 2132245 2558694 4264490 5117388 5543837 6396735 8528980 11087674 12793470 16631511 22175348 25586940 27719185 33263022 55438370 66526044 83157555 110876740 166315110 332630220