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2122202880 = 28325726317
BaseRepresentation
bin111111001111110…
…0011111100000000
312110220022002001200
41332133203330000
513321240443010
6550330101200
7103406266260
oct17637437400
95426262050
102122202880
11999a23486
124b287a800
1327a892b65
14161bc97a0
15c64a0cc0
hex7e7e3f00

2122202880 has 216 divisors, whose sum is σ = 8391862752. Its totient is φ = 485056512.

The previous prime is 2122202879. The next prime is 2122202899. The reversal of 2122202880 is 882022212.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67482 + ... + 93798.

Almost surely, 22122202880 is an apocalyptic number.

2122202880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195931376).

2122202880 is an abundant number, since it is smaller than the sum of its proper divisors (6269659872).

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

2122202880 is a wasteful number, since it uses less digits than its factorization.

2122202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26351 (or 26334 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2122202880 is about 46067.3732700270. The cubic root of 2122202880 is about 1285.0764548473.

The spelling of 2122202880 in words is "two billion, one hundred twenty-two million, two hundred two thousand, eight hundred eighty".