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22249476480 = 2735711150497
BaseRepresentation
bin10100101110001011…
…000001000110000000
32010102121022111212110
4110232023001012000
5331031331221410
614115443255320
71415235300240
oct245613010600
963377274773
1022249476480
119488281aa0
12438b37a540
1321377402ca
141110d61b20
158a34ac720
hex52e2c1180

22249476480 has 256 divisors, whose sum is σ = 88420584960. Its totient is φ = 4623237120.

The previous prime is 22249476467. The next prime is 22249476481. The reversal of 22249476480 is 8467494222.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22249476481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72592 + ... + 223088.

It is an arithmetic number, because the mean of its divisors is an integer number (345392910).

Almost surely, 222249476480 is an apocalyptic number.

22249476480 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 22249476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44210292480).

22249476480 is an abundant number, since it is smaller than the sum of its proper divisors (66171108480).

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

22249476480 is a wasteful number, since it uses less digits than its factorization.

22249476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150537 (or 150525 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 22249476480 in words is "twenty-two billion, two hundred forty-nine million, four hundred seventy-six thousand, four hundred eighty".