Search a number
-
+
22400731152 = 2432155560633
BaseRepresentation
bin10100110111001100…
…000000100000010000
32010211010221001021100
4110313030000200100
5331334041344102
614142445224400
71422053034042
oct246714004020
963733831240
1022400731152
1195556a0958
124411b62100
13215cb8b307
141127095a92
158b18d8a1c
hex537300810

22400731152 has 30 divisors (see below), whose sum is σ = 62690935502. Its totient is φ = 7466910336.

The previous prime is 22400731109. The next prime is 22400731183. The reversal of 22400731152 is 25113700422.

It can be written as a sum of positive squares in only one way, i.e., 22255865856 + 144865296 = 149184^2 + 12036^2 .

It is a super-2 number, since 2×224007311522 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77780173 + ... + 77780460.

Almost surely, 222400731152 is an apocalyptic number.

It is an amenable number.

22400731152 is an abundant number, since it is smaller than the sum of its proper divisors (40290204350).

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

22400731152 is a wasteful number, since it uses less digits than its factorization.

22400731152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155560647 (or 155560638 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 22400731152 in words is "twenty-two billion, four hundred million, seven hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 155560633 311121266 466681899 622242532 933363798 1244485064 1400045697 1866727596 2488970128 2800091394 3733455192 5600182788 7466910384 11200365576 22400731152