Search a number
-
+
22434690 = 23529107241
BaseRepresentation
bin101010110010…
…1001110000010
31120012210121110
41111211032002
521220402230
62120504150
7361456155
oct125451602
946183543
1022434690
1111733573
12761b056
134856685
142d9dc9c
151e824b0
hex1565382

22434690 has 64 divisors (see below), whose sum is σ = 56453760. Its totient is φ = 5698560.

The previous prime is 22434673. The next prime is 22434701. The reversal of 22434690 is 9643422.

It is a super-2 number, since 2×224346902 = 1006630630792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92970 + ... + 93210.

It is an arithmetic number, because the mean of its divisors is an integer number (882090).

Almost surely, 222434690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22434690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226880).

22434690 is an abundant number, since it is smaller than the sum of its proper divisors (34019070).

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

22434690 is a wasteful number, since it uses less digits than its factorization.

22434690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 22434690 is about 4736.5272088314. The cubic root of 22434690 is about 282.0373925568.

The spelling of 22434690 in words is "twenty-two million, four hundred thirty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 107 145 174 214 241 290 321 435 482 535 642 723 870 1070 1205 1446 1605 2410 3103 3210 3615 6206 6989 7230 9309 13978 15515 18618 20967 25787 31030 34945 41934 46545 51574 69890 77361 93090 104835 128935 154722 209670 257870 386805 747823 773610 1495646 2243469 3739115 4486938 7478230 11217345 22434690