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22029090084 = 22322928532
BaseRepresentation
bin10100100001000010…
…010011110100100100
32002212020121201120100
4110201002103310210
5330103421340314
614041531504100
71406621114301
oct244102236444
962766551510
1022029090084
119384935481
1243295b8030
132100b98a61
1410cd9940a8
1588de77c09
hex521093d24

22029090084 has 81 divisors (see below), whose sum is σ = 57738705843. Its totient is φ = 7081510464.

The previous prime is 22029090047. The next prime is 22029090091. The reversal of 22029090084 is 48009092022.

The square root of 22029090084 is 148422.

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 5406660900 + 16622429184 = 73530^2 + 128928^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25825002 + ... + 25825854.

Almost surely, 222029090084 is an apocalyptic number.

22029090084 is the 148422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22029090084

22029090084 is an abundant number, since it is smaller than the sum of its proper divisors (35709615759).

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

22029090084 is an equidigital number, since it uses as much as digits as its factorization.

22029090084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 22029090084 by its sum of digits (36), we get a square (793047243024 = 8905322).

22029090084 divided by its sum of digits (36) gives a square (611919169 = 247372).

Multiplying 22029090084 by its product of nonzero digits (20736), we get a square (456795211981824 = 213727682).

The spelling of 22029090084 in words is "twenty-two billion, twenty-nine million, ninety thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 853 1044 1682 1706 2523 2559 3364 3412 5046 5118 7569 7677 10092 10236 15138 15354 24737 30276 30708 49474 74211 98948 148422 222633 296844 445266 717373 727609 890532 1434746 1455218 2152119 2182827 2869492 2910436 4304238 4365654 6456357 6548481 8608476 8731308 12912714 13096962 21100661 25825428 26193924 42201322 63301983 84402644 126603966 189905949 253207932 379811898 611919169 759623796 1223838338 1835757507 2447676676 3671515014 5507272521 7343030028 11014545042 22029090084