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332233220 = 2251173137151
BaseRepresentation
bin10011110011010…
…111101000000100
3212011011012022002
4103303113220010
51140022430340
652544524432
711142635654
oct2363275004
9764135262
10332233220
1116059a810
1293320718
1353aa5407
14321a4364
151e279715
hex13cd7a04

332233220 has 96 divisors (see below), whose sum is σ = 782320896. Its totient is φ = 117504000.

The previous prime is 332233219. The next prime is 332233243. The reversal of 332233220 is 22332233.

332233220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3322332202 = 220757824943136800, 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 = 332233192 and 332233201.

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, 2200145 + ... + 2200295.

It is an arithmetic number, because the mean of its divisors is an integer number (8149176).

Almost surely, 2332233220 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 332233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391160448).

332233220 is an abundant number, since it is smaller than the sum of its proper divisors (450087676).

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

332233220 is a wasteful number, since it uses less digits than its factorization.

332233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 332233220 is about 18227.2658399443. The cubic root of 332233220 is about 692.5976576859.

332233220 divided by its sum of digits (20) gives a palindrome (16611661).

Adding to 332233220 its reverse (22332233), we get a palindrome (354565453).

It can be divided in two parts, 3 and 32233220, that added together give a palindrome (32233223).

The spelling of 332233220 in words is "three hundred thirty-two million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 137 146 151 220 274 292 302 365 548 604 685 730 755 803 1370 1460 1507 1510 1606 1661 2740 3014 3020 3212 3322 4015 6028 6644 7535 8030 8305 10001 11023 15070 16060 16610 20002 20687 22046 30140 33220 40004 41374 44092 50005 55115 82748 100010 103435 110011 110230 121253 200020 206870 220022 220460 227557 242506 413740 440044 455114 485012 550055 606265 910228 1100110 1137785 1212530 1510151 2200220 2275570 2425060 3020302 4551140 6040604 7550755 15101510 16611661 30203020 33223322 66446644 83058305 166116610 332233220