Search a number
-
+
22605089076 = 22324115315101
BaseRepresentation
bin10101000011010111…
…100100100100110100
32011100101110111122100
4111003113210210310
5332243400322301
614215025302100
71430114041533
oct250327444464
964311414570
1022605089076
11964aa8aaa9
12446a494930
13219331006b
14114629031a
158c4804286
hex5435e4934

22605089076 has 36 divisors (see below), whose sum is σ = 58534319844. Its totient is φ = 7351248000.

The previous prime is 22605089071. The next prime is 22605089081. The reversal of 22605089076 is 67098050622.

It is an interprime number because it is at equal distance from previous prime (22605089071) and next prime (22605089081).

It can be written as a sum of positive squares in 2 ways, for example, as 916636176 + 21688452900 = 30276^2 + 147270^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×226050890764 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22605089071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7656075 + ... + 7659026.

It is an arithmetic number, because the mean of its divisors is an integer number (1625953329).

Almost surely, 222605089076 is an apocalyptic number.

It is an amenable number.

22605089076 is an abundant number, since it is smaller than the sum of its proper divisors (35929230768).

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

22605089076 is a wasteful number, since it uses less digits than its factorization.

22605089076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315152 (or 15315147 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22605089076 in words is "twenty-two billion, six hundred five million, eighty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 15315101 30630202 45945303 61260404 91890606 137835909 183781212 275671818 551343636 627919141 1255838282 1883757423 2511676564 3767514846 5651272269 7535029692 11302544538 22605089076