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22990443876 = 22323726832
BaseRepresentation
bin10101011010010101…
…100101010101100100
32012100020120120001100
4111122111211111210
5334041023201001
614321153000100
71442503356111
oct253225452544
965306516040
1022990443876
119828562844
124557553030
1322250c465a
141181521908
158e8573586
hex55a565564

22990443876 has 81 divisors (see below), whose sum is σ = 59815429401. Its totient is φ = 7445443104.

The previous prime is 22990443823. The next prime is 22990443929. The reversal of 22990443876 is 67834409922.

The square root of 22990443876 is 151626.

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

It is an interprime number because it is at equal distance from previous prime (22990443823) and next prime (22990443929).

It can be written as a sum of positive squares in only one way, i.e., 20572164900 + 2418278976 = 143430^2 + 49176^2 .

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 26 ways as a sum of consecutive naturals, for example, 33660631 + ... + 33661313.

Almost surely, 222990443876 is an apocalyptic number.

22990443876 is the 151626-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22990443876

22990443876 is an abundant number, since it is smaller than the sum of its proper divisors (36824985525).

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

22990443876 is an equidigital number, since it uses as much as digits as its factorization.

22990443876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 22990443876 in words is "twenty-two billion, nine hundred ninety million, four hundred forty-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 683 1332 1366 1369 2049 2732 2738 4098 4107 5476 6147 8196 8214 12294 12321 16428 24588 24642 25271 49284 50542 75813 101084 151626 227439 303252 454878 466489 909756 932978 935027 1399467 1865956 1870054 2798934 2805081 3740108 4198401 5597868 5610162 8396802 8415243 11220324 16793604 16830486 17260093 33660972 34520186 51780279 69040372 103560558 155340837 207121116 310681674 621363348 638623441 1277246882 1915870323 2554493764 3831740646 5747610969 7663481292 11495221938 22990443876