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332468224 = 2121147157
BaseRepresentation
bin10011110100010…
…001000000000000
3212011121010122221
4103310101000000
51140102440344
652553540424
711144635054
oct2364210000
9764533587
10332468224
11160740330
1293414714
1353b5837a
1432225c64
151e2c4184
hex13d11000

332468224 has 104 divisors (see below), whose sum is σ = 745446528. Its totient is φ = 146964480.

The previous prime is 332468183. The next prime is 332468233. The reversal of 332468224 is 422864233.

It is a super-2 number, since 2×3324682242 = 221070239939428352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332468224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2117554 + ... + 2117710.

Almost surely, 2332468224 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 332468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372723264).

332468224 is an abundant number, since it is smaller than the sum of its proper divisors (412978304).

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

332468224 is a wasteful number, since it uses less digits than its factorization.

332468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The square root of 332468224 is about 18233.7111965721. The cubic root of 332468224 is about 692.7609213699.

The spelling of 332468224 in words is "three hundred thirty-two million, four hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 157 176 188 256 314 352 376 512 517 628 704 752 1024 1034 1256 1408 1504 1727 2048 2068 2512 2816 3008 3454 4096 4136 5024 5632 6016 6908 7379 8272 10048 11264 12032 13816 14758 16544 20096 22528 24064 27632 29516 33088 40192 45056 48128 55264 59032 66176 80384 81169 96256 110528 118064 132352 160768 162338 192512 221056 236128 264704 321536 324676 442112 472256 529408 643072 649352 884224 944512 1058816 1298704 1768448 1889024 2117632 2597408 3536896 3778048 5194816 7073792 7556096 10389632 15112192 20779264 30224384 41558528 83117056 166234112 332468224