Search a number
-
+
332012233320 = 233522915237933
BaseRepresentation
bin1001101010011010111…
…10001010001001101000
31011201222111120222022020
410311031132022021220
520414430112431240
6412305130224440
732662400263545
oct4651536121150
91151874528266
10332012233320
11118895282a79
125441a285120
13254020622c1
14120d890bbcc
158982cb50d0
hex4d4d78a268

332012233320 has 128 divisors (see below), whose sum is σ = 1001169244800. Its totient is φ = 88080989184.

The previous prime is 332012233283. The next prime is 332012233361. The reversal of 332012233320 is 23332210233.

It is a super-2 number, since 2×3320122333202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 41848074 + ... + 41856006.

It is an arithmetic number, because the mean of its divisors is an integer number (7821634725).

Almost surely, 2332012233320 is an apocalyptic number.

332012233320 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 332012233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500584622400).

332012233320 is an abundant number, since it is smaller than the sum of its proper divisors (669157011480).

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

332012233320 is a wasteful number, since it uses less digits than its factorization.

332012233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9699 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 332012233320 its reverse (23332210233), we get a palindrome (355344443553).

The spelling of 332012233320 in words is "three hundred thirty-two billion, twelve million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1523 1832 2290 2748 3046 3435 4569 4580 5496 6092 6870 7615 7933 9138 9160 12184 13740 15230 15866 18276 22845 23799 27480 30460 31732 36552 39665 45690 47598 60920 63464 79330 91380 95196 118995 158660 182760 190392 237990 317320 348767 475980 697534 951960 1046301 1395068 1743835 1816657 2092602 2790136 3487670 3633314 4185204 5231505 5449971 6975340 7266628 8370408 9083285 10463010 10899942 12081959 13950680 14533256 18166570 20926020 21799884 24163918 27249855 36245877 36333140 41852040 43599768 48327836 54499710 60409795 72491754 72666280 96655672 108999420 120819590 144983508 181229385 217998840 241639180 289967016 362458770 483278360 724917540 1449835080 2766768611 5533537222 8300305833 11067074444 13833843055 16600611666 22134148888 27667686110 33201223332 41501529165 55335372220 66402446664 83003058330 110670744440 166006116660 332012233320