Search a number
-
+
22649664 = 263232223
BaseRepresentation
bin101011001100…
…1101101000000
31120121201111110
41112121231000
521244242124
62125243320
7363343002
oct126315500
946551443
1022649664
1111870034
127703540
13490048b
143018372
151ec6029
hex1599b40

22649664 has 84 divisors (see below), whose sum is σ = 62926976. Its totient is φ = 7189248.

The previous prime is 22649663. The next prime is 22649689. The reversal of 22649664 is 46694622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22649663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 101457 + ... + 101679.

Almost surely, 222649664 is an apocalyptic number.

22649664 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 22649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31463488).

22649664 is an abundant number, since it is smaller than the sum of its proper divisors (40277312).

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

22649664 is a wasteful number, since it uses less digits than its factorization.

22649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 22649664 is about 4759.1663135469. The cubic root of 22649664 is about 282.9353779539.

The spelling of 22649664 in words is "twenty-two million, six hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 223 276 368 446 529 552 669 736 892 1058 1104 1338 1472 1587 1784 2116 2208 2676 3174 3568 4232 4416 5129 5352 6348 7136 8464 10258 10704 12696 14272 15387 16928 20516 21408 25392 30774 33856 41032 42816 50784 61548 82064 101568 117967 123096 164128 235934 246192 328256 353901 471868 492384 707802 943736 984768 1415604 1887472 2831208 3774944 5662416 7549888 11324832 22649664