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2211653056 = 26434717099
BaseRepresentation
bin1000001111010011…
…0010010111000000
312201010121121122011
42003310302113000
514012140344211
61003243222304
7105543512044
oct20364622700
95633547564
102211653056
11a35469748
12518817994
13293281762
1416da32024
15ce26e921
hex83d325c0

2211653056 has 56 divisors (see below), whose sum is σ = 4586630400. Its totient is φ = 1057066752.

The previous prime is 2211653051. The next prime is 2211653077. The reversal of 2211653056 is 6503561122.

It is a super-2 number, since 2×22116530562 = 9782818480228278272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211653051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120795 + ... + 137893.

Almost surely, 22211653056 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 2211653056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293315200).

2211653056 is an abundant number, since it is smaller than the sum of its proper divisors (2374977344).

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

2211653056 is a wasteful number, since it uses less digits than its factorization.

2211653056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17201 (or 17191 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2211653056 is about 47028.2155306790. The cubic root of 2211653056 is about 1302.8837474598.

The spelling of 2211653056 in words is "two billion, two hundred eleven million, six hundred fifty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 172 188 344 376 688 752 1376 1504 2021 2752 3008 4042 8084 16168 17099 32336 34198 64672 68396 129344 136792 273584 547168 735257 803653 1094336 1470514 1607306 2941028 3214612 5882056 6429224 11764112 12858448 23528224 25716896 34557079 47056448 51433792 69114158 138228316 276456632 552913264 1105826528 2211653056