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220797312 = 2731015693
BaseRepresentation
bin11010010100100…
…01100110000000
3120101110122222020
431022101212000
5423011003222
633524241440
75320513641
oct1512214600
9511418866
10220797312
111036a831a
1261b40280
13369895c8
14214776c8
15145b665c
hexd291980

220797312 has 64 divisors (see below), whose sum is σ = 592403760. Its totient is φ = 72857600.

The previous prime is 220797307. The next prime is 220797323. The reversal of 220797312 is 213797022.

It is a tau number, because it is divible by the number of its divisors (64).

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, 35938 + ... + 41630.

Almost surely, 2220797312 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 220797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296201880).

220797312 is an abundant number, since it is smaller than the sum of its proper divisors (371606448).

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

220797312 is a wasteful number, since it uses less digits than its factorization.

220797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 220797312 is about 14859.2500483705. The cubic root of 220797312 is about 604.4094704549.

The spelling of 220797312 in words is "two hundred twenty million, seven hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 606 808 1212 1616 2424 3232 4848 5693 6464 9696 11386 12928 17079 19392 22772 34158 38784 45544 68316 91088 136632 182176 273264 364352 546528 574993 728704 1093056 1149986 1724979 2186112 2299972 3449958 4599944 6899916 9199888 13799832 18399776 27599664 36799552 55199328 73599104 110398656 220797312