Search a number
-
+
22629492 = 22322812237
BaseRepresentation
bin101011001010…
…0110001110100
31120120200211100
41112110301310
521243120432
62125010100
7363230124
oct126246164
946520740
1022629492
1111856966
1276b3930
1348c4242
143010c84
151ec007c
hex1594c74

22629492 has 36 divisors (see below), whose sum is σ = 57431556. Its totient is φ = 7512960.

The previous prime is 22629491. The next prime is 22629517. The reversal of 22629492 is 29492622.

It is a happy number.

22629492 is a `hidden beast` number, since 22 + 629 + 4 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16695396 + 5934096 = 4086^2 + 2436^2 .

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22629491) 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, 8998 + ... + 11234.

It is an arithmetic number, because the mean of its divisors is an integer number (1595321).

Almost surely, 222629492 is an apocalyptic number.

It is an amenable number.

22629492 is an abundant number, since it is smaller than the sum of its proper divisors (34802064).

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

22629492 is a wasteful number, since it uses less digits than its factorization.

22629492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2523 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 22629492 is about 4757.0465627320. The cubic root of 22629492 is about 282.8513580521.

The spelling of 22629492 in words is "twenty-two million, six hundred twenty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2237 2529 3372 4474 5058 6711 8948 10116 13422 20133 26844 40266 80532 628597 1257194 1885791 2514388 3771582 5657373 7543164 11314746 22629492