Search a number
-
+
22660440 = 23351117167
BaseRepresentation
bin101011001110…
…0010101011000
31120122021021120
41112130111120
521300113230
62125405240
7363416265
oct126342530
946567246
1022660440
1111878140
127709820
13490535a
14301c26c
151ec9310
hex159c558

22660440 has 64 divisors (see below), whose sum is σ = 74165760. Its totient is φ = 5493120.

The previous prime is 22660433. The next prime is 22660447. The reversal of 22660440 is 4406622.

It is an interprime number because it is at equal distance from previous prime (22660433) and next prime (22660447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22660440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22660447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7264 + ... + 9903.

It is an arithmetic number, because the mean of its divisors is an integer number (1158840).

Almost surely, 222660440 is an apocalyptic number.

22660440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22660440 is an abundant number, since it is smaller than the sum of its proper divisors (51505320).

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

22660440 is a wasteful number, since it uses less digits than its factorization.

22660440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17192 (or 17188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22660440 is about 4760.2983099802. The cubic root of 22660440 is about 282.9802414337.

The spelling of 22660440 in words is "twenty-two million, six hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 17167 34334 51501 68668 85835 103002 137336 171670 188837 206004 257505 343340 377674 412008 515010 566511 686680 755348 944185 1030020 1133022 1510696 1888370 2060040 2266044 2832555 3776740 4532088 5665110 7553480 11330220 22660440