Search a number
-
+
22131566159472 = 24337114315472811
BaseRepresentation
bin1010000100000111010000…
…01000111010011001110000
32220100202102220020202011000
411002003220020322121300
510400100421414100342
6115023033502322000
74442644561311630
oct502035010723160
986322386222130
1022131566159472
117062a43145820
1225952b4889300
13c46cc80375c3
145672601bc6c0
15285a5d43e44c
hex1420e823a670

22131566159472 has 320 divisors, whose sum is σ = 81042875781120. Its totient is φ = 5614773292800.

The previous prime is 22131566159407. The next prime is 22131566159497. The reversal of 22131566159472 is 27495166513122.

22131566159472 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 566 + 1 + 5 + 9 + 4 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6306054 + ... + 9166757.

It is an arithmetic number, because the mean of its divisors is an integer number (253258986816).

Almost surely, 222131566159472 is an apocalyptic number.

22131566159472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22131566159472 is an abundant number, since it is smaller than the sum of its proper divisors (58911309621648).

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

22131566159472 is a wasteful number, since it uses less digits than its factorization.

22131566159472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15472889 (or 15472877 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 22131566159472 in words is "twenty-two trillion, one hundred thirty-one billion, five hundred sixty-six million, one hundred fifty-nine thousand, four hundred seventy-two".