Search a number
-
+
22826664 = 2333731487
BaseRepresentation
bin101011100010…
…0111010101000
31120221201022000
41113010322220
521320423124
62133131000
7365011020
oct127047250
946851260
1022826664
1111981013
127789a60
134962c03
143062a80
15200d6c9
hex15c4ea8

22826664 has 128 divisors (see below), whose sum is σ = 74956800. Its totient is φ = 6298560.

The previous prime is 22826641. The next prime is 22826681. The reversal of 22826664 is 46662822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46629 + ... + 47115.

It is an arithmetic number, because the mean of its divisors is an integer number (585600).

Almost surely, 222826664 is an apocalyptic number.

22826664 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 22826664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37478400).

22826664 is an abundant number, since it is smaller than the sum of its proper divisors (52130136).

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

22826664 is a wasteful number, since it uses less digits than its factorization.

22826664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 22826664 is about 4777.7258188389. The cubic root of 22826664 is about 283.6704833887.

The spelling of 22826664 in words is "twenty-two million, eight hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 487 504 558 651 744 756 837 868 974 1116 1302 1461 1512 1674 1736 1948 1953 2232 2604 2922 3348 3409 3896 3906 4383 5208 5844 5859 6696 6818 7812 8766 10227 11688 11718 13149 13636 15097 15624 17532 20454 23436 26298 27272 30194 30681 35064 40908 45291 46872 52596 60388 61362 81816 90582 92043 105192 105679 120776 122724 135873 181164 184086 211358 245448 271746 317037 362328 368172 407619 422716 543492 634074 736344 815238 845432 951111 1086984 1268148 1630476 1902222 2536296 2853333 3260952 3804444 5706666 7608888 11413332 22826664