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22224664 = 23711109331
BaseRepresentation
bin101010011000…
…1111100011000
31112211010111201
41110301330120
521142142124
62112203544
7356622640
oct124617430
945733451
1022224664
11115aa7a0
1275395b4
1347b1bb7
142d47520
151e40144
hex1531f18

22224664 has 64 divisors (see below), whose sum is σ = 52588800. Its totient is φ = 8553600.

The previous prime is 22224617. The next prime is 22224667. The reversal of 22224664 is 46642222.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224667) 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, 66979 + ... + 67309.

It is an arithmetic number, because the mean of its divisors is an integer number (821700).

Almost surely, 222224664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22224664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26294400).

22224664 is an abundant number, since it is smaller than the sum of its proper divisors (30364136).

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

22224664 is a wasteful number, since it uses less digits than its factorization.

22224664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 22224664 is about 4714.3041904400. The cubic root of 22224664 is about 281.1545187658.

Adding to 22224664 its reverse (46642222), we get a palindrome (68866886).

It can be divided in two parts, 2222 and 4664, that added together give a palindrome (6886).

The spelling of 22224664 in words is "twenty-two million, two hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 109 154 218 308 331 436 616 662 763 872 1199 1324 1526 2317 2398 2648 3052 3641 4634 4796 6104 7282 8393 9268 9592 14564 16786 18536 25487 29128 33572 36079 50974 67144 72158 101948 144316 203896 252553 288632 396869 505106 793738 1010212 1587476 2020424 2778083 3174952 5556166 11112332 22224664