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22034664 = 23322961173
BaseRepresentation
bin101010000001…
…1100011101000
31112110110212200
41110003203220
521120102124
62104140200
7355202001
oct124034350
945413780
1022034664
111148aa73
127467660
134746582
142cd81a8
151e03bc9
hex15038e8

22034664 has 96 divisors (see below), whose sum is σ = 63109800. Its totient is φ = 6935040.

The previous prime is 22034629. The next prime is 22034689. The reversal of 22034664 is 46643022.

It can be written as a sum of positive squares in 4 ways, for example, as 17994564 + 4040100 = 4242^2 + 2010^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127282 + ... + 127454.

Almost surely, 222034664 is an apocalyptic number.

22034664 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 22034664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31554900).

22034664 is an abundant number, since it is smaller than the sum of its proper divisors (41075136).

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

22034664 is a wasteful number, since it uses less digits than its factorization.

22034664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 22034664 is about 4694.1095002141. The cubic root of 22034664 is about 280.3510223416.

Adding to 22034664 its reverse (46643022), we get a palindrome (68677686).

The spelling of 22034664 in words is "twenty-two million, thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 61 72 87 116 122 173 174 183 232 244 261 346 348 366 488 519 522 549 692 696 732 1038 1044 1098 1384 1464 1557 1769 2076 2088 2196 3114 3538 4152 4392 5017 5307 6228 7076 10034 10553 10614 12456 14152 15051 15921 20068 21106 21228 30102 31659 31842 40136 42212 42456 45153 60204 63318 63684 84424 90306 94977 120408 126636 127368 180612 189954 253272 306037 361224 379908 612074 759816 918111 1224148 1836222 2448296 2754333 3672444 5508666 7344888 11017332 22034664