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2249842056 = 2337211297163
BaseRepresentation
bin1000011000011001…
…1101110110001000
312210210110211002120
42012012131312020
514101424421211
61011125531240
7106516225200
oct20606356610
95723424076
102249842056
11a54a82700
12529573b20
1329b162bb7
14174b33400
15d27b4d06
hex8619dd88

2249842056 has 288 divisors, whose sum is σ = 7310509920. Its totient is φ = 574801920.

The previous prime is 2249842031. The next prime is 2249842097. The reversal of 2249842056 is 6502489422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2249841999 and 2249842017.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13802631 + ... + 13802793.

It is an arithmetic number, because the mean of its divisors is an integer number (25383715).

Almost surely, 22249842056 is an apocalyptic number.

It is a pronic number, being equal to 47432×47433.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249842056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655254960).

2249842056 is an abundant number, since it is smaller than the sum of its proper divisors (5060667864).

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

2249842056 is a wasteful number, since it uses less digits than its factorization.

2249842056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2249842056 is about 47432.4999973647. The cubic root of 2249842056 is about 1310.3400348774.

The spelling of 2249842056 in words is "two billion, two hundred forty-nine million, eight hundred forty-two thousand, fifty-six".