Search a number
-
+
22090338432 = 27322921512
BaseRepresentation
bin10100100100101011…
…111101000010000000
32010000111212110111200
4110210223331002000
5330220111312212
614052000341200
71411263531021
oct244453750200
963014773450
1022090338432
119406469248
124346014800
132110791c96
1410d7b78c48
158945256dc
hex524afd080

22090338432 has 216 divisors, whose sum is σ = 66273688845. Its totient is φ = 7062451200.

The previous prime is 22090338421. The next prime is 22090338449. The reversal of 22090338432 is 23483309022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 22077205056 + 13133376 = 148584^2 + 3624^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105096.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146293557 + ... + 146293707.

Almost surely, 222090338432 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 22090338432

22090338432 is an abundant number, since it is smaller than the sum of its proper divisors (44183350413).

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

22090338432 is an equidigital number, since it uses as much as digits as its factorization.

22090338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 22090338432 in words is "twenty-two billion, ninety million, three hundred thirty-eight thousand, four hundred thirty-two".