Search a number
-
+
22649342016 = 2637314113259
BaseRepresentation
bin10101000110000000…
…011000100001000000
32011110110201210021010
4111012000120201000
5332341212421031
614223250000520
71431162142050
oct250600304100
964413653233
1022649342016
119672a65984
124481276140
13219c535632
14114c0cd560
158c8646246
hex546018840

22649342016 has 224 divisors, whose sum is σ = 72426332160. Its totient is φ = 6109286400.

The previous prime is 22649342003. The next prime is 22649342083. The reversal of 22649342016 is 61024394622.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1701595 + ... + 1714853.

It is an arithmetic number, because the mean of its divisors is an integer number (323331840).

Almost surely, 222649342016 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 22649342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36213166080).

22649342016 is an abundant number, since it is smaller than the sum of its proper divisors (49776990144).

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

22649342016 is a wasteful number, since it uses less digits than its factorization.

22649342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353 (or 13343 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 22649342016 in words is "twenty-two billion, six hundred forty-nine million, three hundred forty-two thousand, sixteen".