Search a number
-
+
22024233032256 = 2633713140060497
BaseRepresentation
bin1010000000111111010101…
…00101100001101001000000
32212222111101200000221111000
411000133222211201221000
510341321112124013011
6114501443141052000
74432125011632530
oct500375245415100
985874350027430
1022024233032256
117021474415704
12257853b0b7000
13c39b511c5940
14561d9b2874c0
15282d7a536356
hex1407ea961a40

22024233032256 has 224 divisors, whose sum is σ = 79688820942080. Its totient is φ = 5808588890112.

The previous prime is 22024233032189. The next prime is 22024233032257. The reversal of 22024233032256 is 65223033242022.

22024233032256 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 42 + 330 + 32 + 256 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 22024233032256.

It is not an unprimeable number, because it can be changed into a prime (22024233032257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69873001 + ... + 70187496.

It is an arithmetic number, because the mean of its divisors is an integer number (355753664920).

Almost surely, 222024233032256 is an apocalyptic number.

22024233032256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

22024233032256 is an abundant number, since it is smaller than the sum of its proper divisors (57664587909824).

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

22024233032256 is a wasteful number, since it uses less digits than its factorization.

22024233032256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140060538 (or 140060522 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 22024233032256 its reverse (65223033242022), we get a palindrome (87247266274278).

The spelling of 22024233032256 in words is "twenty-two trillion, twenty-four billion, two hundred thirty-three million, thirty-two thousand, two hundred fifty-six".