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22642424676 = 22323128092
BaseRepresentation
bin10101000101100101…
…111111101101100100
32011102222201100110100
4111011211333231210
5332332430042201
614222441424100
71431046301634
oct250545775544
964388640410
1022642424676
11966a070873
12447aa9b030
13219ac82c31
14114b20c6c4
158c7c2b886
hex54597fb64

22642424676 has 81 divisors (see below), whose sum is σ = 59214060633. Its totient is φ = 7294979520.

The previous prime is 22642424671. The next prime is 22642424677. The reversal of 22642424676 is 67642424622.

The square root of 22642424676 is 150474.

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

It can be written as a sum of positive squares in only one way, i.e., 19930098276 + 2712326400 = 141174^2 + 52080^2 .

It is not an unprimeable number, because it can be changed into a prime (22642424671) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27987760 + ... + 27988568.

Almost surely, 222642424676 is an apocalyptic number.

22642424676 is the 150474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22642424676

22642424676 is an abundant number, since it is smaller than the sum of its proper divisors (36571635957).

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

22642424676 is an equidigital number, since it uses as much as digits as its factorization.

22642424676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 845 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 22642424676 in words is "twenty-two billion, six hundred forty-two million, four hundred twenty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 809 961 1116 1618 1922 2427 2883 3236 3844 4854 5766 7281 8649 9708 11532 14562 17298 25079 29124 34596 50158 75237 100316 150474 225711 300948 451422 654481 777449 902844 1308962 1554898 1963443 2332347 2617924 3109796 3926886 4664694 5890329 6997041 7853772 9329388 11780658 13994082 20288911 23561316 27988164 40577822 60866733 81155644 121733466 182600199 243466932 365200398 628956241 730400796 1257912482 1886868723 2515824964 3773737446 5660606169 7547474892 11321212338 22642424676