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22003966656 = 2633723183101
BaseRepresentation
bin10100011111100010…
…011110001011000000
32002210111100022201000
4110133202132023000
5330031003413111
614035233212000
71406164426200
oct243742361300
962714308630
1022003966656
119371735911
124321101000
1320c8910619
1410ca4d4400
1588bb63c56
hex51f89e2c0

22003966656 has 672 divisors, whose sum is σ = 79390402560. Its totient is φ = 5951232000.

The previous prime is 22003966651. The next prime is 22003966661. The reversal of 22003966656 is 65666930022.

It is an interprime number because it is at equal distance from previous prime (22003966651) and next prime (22003966661).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22003966651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217861006 + ... + 217861106.

It is an arithmetic number, because the mean of its divisors is an integer number (118140480).

Almost surely, 222003966656 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 22003966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39695201280).

22003966656 is an abundant number, since it is smaller than the sum of its proper divisors (57386435904).

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

22003966656 is a wasteful number, since it uses less digits than its factorization.

22003966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 22003966656 in words is "twenty-two billion, three million, nine hundred sixty-six thousand, six hundred fifty-six".