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2209752064 = 2101321132
BaseRepresentation
bin1000001110110110…
…0010010000000000
312201000001000222001
42003231202100000
514011144031224
61003134353344
7105521403562
oct20355422000
95630030861
102209752064
11a34390483
1251805b854
13292a67400
1416d699332
15cdee6544
hex83b62400

2209752064 has 99 divisors (see below), whose sum is σ = 4825984683. Its totient is φ = 1010860032.

The previous prime is 2209752059. The next prime is 2209752067. The reversal of 2209752064 is 4602579022.

It is a happy number.

The square root of 2209752064 is 47008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1649009664 + 560742400 = 40608^2 + 23680^2 .

It is not an unprimeable number, because it can be changed into a prime (2209752067) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19555272 + ... + 19555384.

Almost surely, 22209752064 is an apocalyptic number.

2209752064 is the 47008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2209752064

2209752064 is an abundant number, since it is smaller than the sum of its proper divisors (2616232619).

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

2209752064 is an equidigital number, since it uses as much as digits as its factorization.

2209752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The cubic root of 2209752064 is about 1302.5103493000.

The spelling of 2209752064 in words is "two billion, two hundred nine million, seven hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 128 169 208 226 256 338 416 452 512 676 832 904 1024 1352 1469 1664 1808 2704 2938 3328 3616 5408 5876 6656 7232 10816 11752 12769 13312 14464 19097 21632 23504 25538 28928 38194 43264 47008 51076 57856 76388 86528 94016 102152 115712 152776 165997 173056 188032 204304 305552 331994 376064 408608 611104 663988 752128 817216 1222208 1327976 1504256 1634432 2157961 2444416 2655952 3268864 4315922 4888832 5311904 6537728 8631844 9777664 10623808 13075456 17263688 19555328 21247616 34527376 42495232 69054752 84990464 138109504 169980928 276219008 552438016 1104876032 2209752064