[go: up one dir, main page]

Search a number
-
+
22089024 = 26344261
BaseRepresentation
bin101010001000…
…0110101000000
31112120020110000
41110100311000
521123322044
62105240000
7355516326
oct124206500
945506400
1022089024
11115178a1
127493000
134765239
142d0dd16
151e14d69
hex1510d40

22089024 has 70 divisors (see below), whose sum is σ = 65494154. Its totient is φ = 7361280.

The previous prime is 22089007. The next prime is 22089047. The reversal of 22089024 is 42098022.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 186624 = 4680^2 + 432^2 .

It is a super-3 number, since 3×220890243 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3054 + ... + 7314.

Almost surely, 222089024 is an apocalyptic number.

22089024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32747077).

22089024 is an abundant number, since it is smaller than the sum of its proper divisors (43405130).

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

22089024 is an equidigital number, since it uses as much as digits as its factorization.

22089024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22089024 is about 4699.8961690659. The cubic root of 22089024 is about 280.5813770582.

The spelling of 22089024 in words is "twenty-two million, eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4261 5184 8522 12783 17044 25566 34088 38349 51132 68176 76698 102264 115047 136352 153396 204528 230094 272704 306792 345141 409056 460188 613584 690282 818112 920376 1227168 1380564 1840752 2454336 2761128 3681504 5522256 7363008 11044512 22089024