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22273913088 = 28337676871
BaseRepresentation
bin10100101111101000…
…001111000100000000
32010111022022000121000
4110233220033010000
5331104110204323
614122115132000
71415653065060
oct245750170400
963438260530
1022273913088
1194a0052639
1243975a4000
13213c817c3b
1411142c33a0
158a56d7e43
hex52fa0f100

22273913088 has 288 divisors, whose sum is σ = 76412241920. Its totient is φ = 6268078080.

The previous prime is 22273913029. The next prime is 22273913107. The reversal of 22273913088 is 88031937222.

22273913088 is a `hidden beast` number, since 2 + 227 + 391 + 30 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×222739130882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3238293 + ... + 3245163.

Almost surely, 222273913088 is an apocalyptic number.

22273913088 is a gapful number since it is divisible by the number (28) 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 22273913088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38206120960).

22273913088 is an abundant number, since it is smaller than the sum of its proper divisors (54138328832).

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

22273913088 is an equidigital number, since it uses as much as digits as its factorization.

22273913088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 22273913088 in words is "twenty-two billion, two hundred seventy-three million, nine hundred thirteen thousand, eighty-eight".