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2249950968 = 23321979109191
BaseRepresentation
bin1000011000011011…
…1000011011111000
312210210200100111100
42012012320123320
514101441412333
61011132131400
7106520160546
oct20606703370
95723610440
102249950968
11a55047511
12529606b60
1329b1a0645
14174b60d96
15d27d7213
hex861b86f8

2249950968 has 192 divisors, whose sum is σ = 6589440000. Its totient is φ = 691441920.

The previous prime is 2249950957. The next prime is 2249950979. The reversal of 2249950968 is 8690599422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2249950957) and next prime (2249950979).

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, 11779753 + ... + 11779943.

It is an arithmetic number, because the mean of its divisors is an integer number (34320000).

Almost surely, 22249950968 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 2249950968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294720000).

2249950968 is an abundant number, since it is smaller than the sum of its proper divisors (4339489032).

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

2249950968 is a wasteful number, since it uses less digits than its factorization.

2249950968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2249950968 is about 47433.6480570491. The cubic root of 2249950968 is about 1310.3611785026.

The spelling of 2249950968 in words is "two billion, two hundred forty-nine million, nine hundred fifty thousand, nine hundred sixty-eight".