Search a number
-
+
22887690 = 2357731493
BaseRepresentation
bin101011101001…
…1110100001010
31121001211000020
41113103310022
521324401230
62134321310
7365353650
oct127236412
947054006
1022887690
1111a12951
1277b9236
134984917
14307add0
152021810
hex15d3d0a

22887690 has 64 divisors (see below), whose sum is σ = 63680256. Its totient is φ = 5156352.

The previous prime is 22887673. The next prime is 22887701. The reversal of 22887690 is 9678822.

It is a happy number.

It is a super-2 number, since 2×228876902 = 1047692707072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14584 + ... + 16076.

It is an arithmetic number, because the mean of its divisors is an integer number (995004).

Almost surely, 222887690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22887690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31840128).

22887690 is an abundant number, since it is smaller than the sum of its proper divisors (40792566).

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

22887690 is a wasteful number, since it uses less digits than its factorization.

22887690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 22887690 is about 4784.1080673413. The cubic root of 22887690 is about 283.9230516255.

The spelling of 22887690 in words is "twenty-two million, eight hundred eighty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1493 1533 2190 2555 2986 3066 4479 5110 7465 7665 8958 10451 14930 15330 20902 22395 31353 44790 52255 62706 104510 108989 156765 217978 313530 326967 544945 653934 762923 1089890 1525846 1634835 2288769 3269670 3814615 4577538 7629230 11443845 22887690