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2212736680 = 2357112241271
BaseRepresentation
bin1000001111100011…
…1010111010101000
312201012122200002101
42003320322322220
514012430033210
61003322343144
7105555644230
oct20370727250
95635580071
102212736680
11a36039900
1251905aab4
13293570a5b
1416dc34cc0
15ce3d5a3a
hex83e3aea8

2212736680 has 192 divisors, whose sum is σ = 6303306240. Its totient is φ = 684288000.

The previous prime is 2212736657. The next prime is 2212736759. The reversal of 2212736680 is 866372122.

2212736680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8164945 + ... + 8165215.

It is an arithmetic number, because the mean of its divisors is an integer number (32829720).

Almost surely, 22212736680 is an apocalyptic number.

2212736680 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 2212736680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151653120).

2212736680 is an abundant number, since it is smaller than the sum of its proper divisors (4090569560).

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

2212736680 is a wasteful number, since it uses less digits than its factorization.

2212736680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 2212736680 is about 47039.7351183018. The cubic root of 2212736680 is about 1303.0965001751.

The spelling of 2212736680 in words is "two billion, two hundred twelve million, seven hundred thirty-six thousand, six hundred eighty".