Search a number
-
+
22288840 = 2357233461
BaseRepresentation
bin101010100000…
…1100111001000
31112221101112121
41111001213020
521201220330
62113421024
7360311020
oct125014710
945841477
1022288840
1111643a32
12756a774
134805182
142d62a80
151e5417a
hex15419c8

22288840 has 64 divisors (see below), whose sum is σ = 59823360. Its totient is φ = 7307520.

The previous prime is 22288831. The next prime is 22288859. The reversal of 22288840 is 4888222.

It is a super-3 number, since 3×222888403 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22288796 and 22288805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4710 + ... + 8170.

It is an arithmetic number, because the mean of its divisors is an integer number (934740).

Almost surely, 222288840 is an apocalyptic number.

22288840 is a gapful number since it is divisible by the number (20) 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 22288840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29911680).

22288840 is an abundant number, since it is smaller than the sum of its proper divisors (37534520).

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

22288840 is a wasteful number, since it uses less digits than its factorization.

22288840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 22288840 is about 4721.1058026695. The cubic root of 22288840 is about 281.4248795512.

The spelling of 22288840 in words is "twenty-two million, two hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 3461 6440 6922 13844 17305 24227 27688 34610 48454 69220 79603 96908 121135 138440 159206 193816 242270 318412 398015 484540 557221 636824 796030 969080 1114442 1592060 2228884 2786105 3184120 4457768 5572210 11144420 22288840