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22402068480 = 2123351129127
BaseRepresentation
bin10100110111010001…
…000111000000000000
32010211020102222202000
4110313101013000000
5331334412142410
614142534024000
71422100304001
oct246721070000
963736388660
1022402068480
119556424690
1244124a8000
132160238c2c
1411273231a8
158b1a9edc0
hex537447000

22402068480 has 832 divisors, whose sum is σ = 90585907200. Its totient is φ = 5202247680.

The previous prime is 22402068457. The next prime is 22402068487. The reversal of 22402068480 is 8486020422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22402068487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176394177 + ... + 176394303.

Almost surely, 222402068480 is an apocalyptic number.

22402068480 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 22402068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45292953600).

22402068480 is an abundant number, since it is smaller than the sum of its proper divisors (68183838720).

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

22402068480 is a wasteful number, since it uses less digits than its factorization.

22402068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 22402068480 in words is "twenty-two billion, four hundred two million, sixty-eight thousand, four hundred eighty".