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22723150564 = 222322921132
BaseRepresentation
bin10101001010011001…
…111100001011100100
32011122121121122120001
4111022121330023210
5333014111304224
614234443551044
71433046410242
oct251231741344
964577548501
1022723150564
119700698384
1244a1b2b484
1321b190882a
141157c23792
158ced75544
hex54a67c2e4

22723150564 has 81 divisors (see below), whose sum is σ = 43436851003. Its totient is φ = 10399992064.

The previous prime is 22723150561. The next prime is 22723150579. The reversal of 22723150564 is 46505132722.

The square root of 22723150564 is 150742.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7841102500 + 14882048064 = 88550^2 + 121992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22723150561) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 201089772 + ... + 201089884.

Almost surely, 222723150564 is an apocalyptic number.

22723150564 is the 150742-nd square number.

It is an amenable number.

22723150564 is a deficient number, since it is larger than the sum of its proper divisors (20713700439).

22723150564 is a wasteful number, since it uses less digits than its factorization.

22723150564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 22723150564 in words is "twenty-two billion, seven hundred twenty-three million, one hundred fifty thousand, five hundred sixty-four".

Divisors: 1 2 4 23 29 46 58 92 113 116 226 452 529 667 841 1058 1334 1682 2116 2599 2668 3277 3364 5198 6554 10396 12769 13108 15341 19343 25538 30682 38686 51076 59777 61364 75371 77372 95033 119554 150742 190066 239108 293687 301484 370301 380132 444889 587374 740602 889778 1174748 1481204 1733533 1779556 2185759 3467066 4371518 6754801 6934132 8516923 8743036 10738729 13509602 17033846 21477458 27019204 34067692 42954916 50272457 100544914 195889229 201089828 246990767 391778458 493981534 783556916 987963068 5680787641 11361575282 22723150564