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22449320964 = 22337172923167
BaseRepresentation
bin10100111010000101…
…010111010000000100
32010221112100122222000
4110322011113100010
5331434011232324
614151342505300
71423213036230
oct247205272004
963845318860
1022449320964
119580069124
124426295230
132169c71895
14112d7035c0
158b5cd59c9
hex53a157404

22449320964 has 576 divisors, whose sum is σ = 76418334720. Its totient is φ = 5556418560.

The previous prime is 22449320963. The next prime is 22449320987. The reversal of 22449320964 is 46902394422.

22449320964 is a `hidden beast` number, since 224 + 49 + 320 + 9 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (22449320963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 335064459 + ... + 335064525.

It is an arithmetic number, because the mean of its divisors is an integer number (132670720).

Almost surely, 222449320964 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 22449320964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38209167360).

22449320964 is an abundant number, since it is smaller than the sum of its proper divisors (53969013756).

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

22449320964 is a wasteful number, since it uses less digits than its factorization.

22449320964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 22449320964 in words is "twenty-two billion, four hundred forty-nine million, three hundred twenty thousand, nine hundred sixty-four".