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331593216 = 293593659
BaseRepresentation
bin10011110000111…
…011011000000000
3212002221200101020
4103300323120000
51134341440331
652523105440
711134332033
oct2360733000
9762850336
10331593216
111601a2989
1293072280
1353910006
143207901a
151e19ec96
hex13c3b600

331593216 has 80 divisors (see below), whose sum is σ = 898603200. Its totient is φ = 108627968.

The previous prime is 331593209. The next prime is 331593271. The reversal of 331593216 is 612395133.

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, 88795 + ... + 92453.

It is an arithmetic number, because the mean of its divisors is an integer number (11232540).

Almost surely, 2331593216 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 331593216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449301600).

331593216 is an abundant number, since it is smaller than the sum of its proper divisors (567009984).

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

331593216 is an equidigital number, since it uses as much as digits as its factorization.

331593216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3723 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 331593216 is about 18209.7011507603. The cubic root of 331593216 is about 692.1526387649.

The spelling of 331593216 in words is "three hundred thirty-one million, five hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 512 708 768 944 1416 1536 1888 2832 3659 3776 5664 7318 7552 10977 11328 14636 15104 21954 22656 29272 30208 43908 45312 58544 87816 90624 117088 175632 215881 234176 351264 431762 468352 647643 702528 863524 936704 1295286 1405056 1727048 1873408 2590572 2810112 3454096 5181144 5620224 6908192 10362288 13816384 20724576 27632768 41449152 55265536 82898304 110531072 165796608 331593216