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22042450089 = 321144092
BaseRepresentation
bin10100100001110101…
…010001100010101001
32002220011202111001100
4110201311101202221
5330120331400324
614043130112013
71410142506612
oct244165214251
962804674040
1022042450089
119391430000
124331b7b609
132103895a9a
1410d1670c09
158902164c9
hex521d518a9

22042450089 has 45 divisors (see below), whose sum is σ = 35108626215. Its totient is φ = 13326397920.

The previous prime is 22042450081. The next prime is 22042450099. The reversal of 22042450089 is 98005424022.

The square root of 22042450089 is 148467.

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

22042450089 is a `hidden beast` number, since 220 + 424 + 5 + 0 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20144976489 + 1897473600 = 141933^2 + 43560^2 .

It is not a de Polignac number, because 22042450089 - 23 = 22042450081 is a prime.

It is a super-2 number, since 2×220424500892 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22042450081) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53893317 + ... + 53893725.

Almost surely, 222042450089 is an apocalyptic number.

22042450089 is the 148467-th square number.

22042450089 is the 74234-th centered octagonal number.

It is an amenable number.

22042450089 is a deficient number, since it is larger than the sum of its proper divisors (13066176126).

22042450089 is an frugal number, since it uses more digits than its factorization.

22042450089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 22042450089 by its sum of digits (36), we get a square (793528203204 = 8908022).

The spelling of 22042450089 in words is "twenty-two billion, forty-two million, four hundred fifty thousand, eighty-nine".

Divisors: 1 3 9 11 33 99 121 363 409 1089 1227 1331 3681 3993 4499 11979 13497 14641 40491 43923 49489 131769 148467 167281 445401 501843 544379 1505529 1633137 1840091 4899411 5520273 5988169 16560819 17964507 20241001 53893521 60723003 182169009 222651011 667953033 2003859099 2449161121 7347483363 22042450089