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22675968000 = 212325371937
BaseRepresentation
bin10101000111100101…
…111101000000000000
32011112022211112020200
4111013211331000000
5332420021434000
614230040405200
71431634355610
oct250745750000
964468745220
1022675968000
119686aa1424
12448a176800
1321a4bc895a
141151860a40
158cab55500
hex54797d000

22675968000 has 1248 divisors, whose sum is σ = 100996995840. Its totient is φ = 4777574400.

The previous prime is 22675967989. The next prime is 22675968011. The reversal of 22675968000 is 86957622.

It is an interprime number because it is at equal distance from previous prime (22675967989) and next prime (22675968011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 612863982 + ... + 612864018.

It is an arithmetic number, because the mean of its divisors is an integer number (80927080).

Almost surely, 222675968000 is an apocalyptic number.

22675968000 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 22675968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50498497920).

22675968000 is an abundant number, since it is smaller than the sum of its proper divisors (78321027840).

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

22675968000 is a wasteful number, since it uses less digits than its factorization.

22675968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22675968000 in words is "twenty-two billion, six hundred seventy-five million, nine hundred sixty-eight thousand".