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2212650440 = 2357111373757
BaseRepresentation
bin1000001111100010…
…0101110111001000
312201012111021210022
42003320211313020
514012414303230
61003320440012
7105555134630
oct20370456710
95635437708
102212650440
11a35a90030
12519019008
13293540720
1416dc116c0
15ce3ba1e5
hex83e25dc8

2212650440 has 256 divisors, whose sum is σ = 6784888320. Its totient is φ = 627056640.

The previous prime is 2212650379. The next prime is 2212650457. The reversal of 2212650440 is 440562122.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2922542 + ... + 2923298.

It is an arithmetic number, because the mean of its divisors is an integer number (26503470).

Almost surely, 22212650440 is an apocalyptic number.

2212650440 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 2212650440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392444160).

2212650440 is an abundant number, since it is smaller than the sum of its proper divisors (4572237880).

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

2212650440 is a wasteful number, since it uses less digits than its factorization.

2212650440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2212650440 is about 47038.8184375416. The cubic root of 2212650440 is about 1303.0795708370.

The spelling of 2212650440 in words is "two billion, two hundred twelve million, six hundred fifty thousand, four hundred forty".