Search a number
-
+
22160365074 = 23689170777
BaseRepresentation
bin10100101000110111…
…000101011000010010
32010012101122012000000
4110220313011120102
5330341023140244
614102541310430
71413103665231
oct245067053022
963171565000
1022160365074
119441a48301
124365565416
13212213c973
1411031a6b18
1589a759169
hex528dc5612

22160365074 has 56 divisors (see below), whose sum is σ = 50398295580. Its totient is φ = 7303747968.

The previous prime is 22160365049. The next prime is 22160365081. The reversal of 22160365074 is 47056306122.

22160365074 is a `hidden beast` number, since 221 + 6 + 0 + 365 + 0 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19402539849 + 2757825225 = 139293^2 + 52515^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 44374 + ... + 215150.

Almost surely, 222160365074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22160365074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25199147790).

22160365074 is an abundant number, since it is smaller than the sum of its proper divisors (28237930506).

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

22160365074 is an equidigital number, since it uses as much as digits as its factorization.

22160365074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170886 (or 170871 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 22160365074 in words is "twenty-two billion, one hundred sixty million, three hundred sixty-five thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 729 801 1458 1602 2403 4806 7209 14418 21627 43254 64881 129762 170777 341554 512331 1024662 1536993 3073986 4610979 9221958 13832937 15199153 27665874 30398306 41498811 45597459 82997622 91194918 124496433 136792377 248992866 273584754 410377131 820754262 1231131393 2462262786 3693394179 7386788358 11080182537 22160365074