Search a number
-
+
22733089992 = 233459232
BaseRepresentation
bin10101001010111111…
…110110110011001000
32011200022022121220000
4111022333312303020
5333024132334432
614235441003000
71433230035204
oct251277666310
964608277800
1022733089992
119706266a88
1244a5323460
1321b39a8952
14115928db04
158d0b8a57c
hex54aff6cc8

22733089992 has 60 divisors (see below), whose sum is σ = 63684453195. Its totient is φ = 7576417296.

The previous prime is 22733089927. The next prime is 22733089997. The reversal of 22733089992 is 29998033722.

It is a happy number.

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.

22733089992 is a `hidden beast` number, since 227 + 330 + 89 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11366544996 + 11366544996 = 106614^2 + 106614^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106614.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22733089997) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3835143 + ... + 3841065.

Almost surely, 222733089992 is an apocalyptic number.

It is an amenable number.

22733089992 is an abundant number, since it is smaller than the sum of its proper divisors (40951363203).

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

22733089992 is an frugal number, since it uses more digits than its factorization.

22733089992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11864 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 22733089992 in words is "twenty-two billion, seven hundred thirty-three million, eighty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 5923 11846 17769 23692 35538 47384 53307 71076 106614 142152 159921 213228 319842 426456 479763 639684 959526 1279368 1919052 3838104 35081929 70163858 105245787 140327716 210491574 280655432 315737361 420983148 631474722 841966296 947212083 1262949444 1894424166 2525898888 2841636249 3788848332 5683272498 7577696664 11366544996 22733089992