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332137020 = 2235232291051
BaseRepresentation
bin10011110011000…
…000001000111100
3212010222022100010
4103303000020330
51140011341040
652542503220
711142055335
oct2363001074
9763868303
10332137020
11160534506
1293294b10
1353a706a7
143217b28c
151e25ae80
hex13cc023c

332137020 has 96 divisors (see below), whose sum is σ = 975582720. Its totient is φ = 84268800.

The previous prime is 332136989. The next prime is 332137063. The reversal of 332137020 is 20731233.

It is a super-2 number, since 2×3321370202 = 220630000108960800, which contains 22 as substring.

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, 315495 + ... + 316545.

It is an arithmetic number, because the mean of its divisors is an integer number (10162320).

Almost surely, 2332137020 is an apocalyptic number.

332137020 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 332137020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487791360).

332137020 is an abundant number, since it is smaller than the sum of its proper divisors (643445700).

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

332137020 is a wasteful number, since it uses less digits than its factorization.

332137020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 332137020 is about 18224.6267451490. The cubic root of 332137020 is about 692.5308027152.

Adding to 332137020 its reverse (20731233), we get a palindrome (352868253).

The spelling of 332137020 in words is "three hundred thirty-two million, one hundred thirty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 229 230 276 345 458 460 687 690 916 1051 1145 1374 1380 2102 2290 2748 3153 3435 4204 4580 5255 5267 6306 6870 10510 10534 12612 13740 15765 15801 21020 21068 24173 26335 31530 31602 48346 52670 63060 63204 72519 79005 96692 105340 120865 145038 158010 240679 241730 290076 316020 362595 481358 483460 722037 725190 962716 1203395 1444074 1450380 2406790 2888148 3610185 4813580 5535617 7220370 11071234 14440740 16606851 22142468 27678085 33213702 55356170 66427404 83034255 110712340 166068510 332137020