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22986990 = 2345133759
BaseRepresentation
bin101011110110…
…0000011101110
31121020212020000
41113230003232
521341040430
62140405130
7366246315
oct127540356
947225200
1022986990
1111a80514
1278467a6
1349bab90
1430a527c
152040e60
hex15ec0ee

22986990 has 160 divisors (see below), whose sum is σ = 69521760. Its totient is φ = 5412096.

The previous prime is 22986967. The next prime is 22986991. The reversal of 22986990 is 9968922.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22986991) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389581 + ... + 389639.

It is an arithmetic number, because the mean of its divisors is an integer number (434511).

Almost surely, 222986990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22986990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34760880).

22986990 is an abundant number, since it is smaller than the sum of its proper divisors (46534770).

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

22986990 is a wasteful number, since it uses less digits than its factorization.

22986990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 22986990 is about 4794.4749451843. The cubic root of 22986990 is about 284.3330665537. Note that the first 3 decimals are identical.

The spelling of 22986990 in words is "twenty-two million, nine hundred eighty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 59 65 74 78 81 90 111 117 118 130 135 162 177 185 195 222 234 270 295 333 351 354 370 390 405 481 531 555 585 590 666 702 767 810 885 962 999 1053 1062 1110 1170 1443 1534 1593 1665 1755 1770 1998 2106 2183 2301 2405 2655 2886 2997 3186 3330 3510 3835 4329 4366 4602 4779 4810 4995 5265 5310 5994 6549 6903 7215 7670 7965 8658 9558 9990 10530 10915 11505 12987 13098 13806 14430 14985 15930 19647 20709 21645 21830 23010 23895 25974 28379 29970 32745 34515 38961 39294 41418 43290 47790 56758 58941 62127 64935 65490 69030 77922 85137 98235 103545 117882 124254 129870 141895 170274 176823 194805 196470 207090 255411 283790 294705 310635 353646 389610 425685 510822 589410 621270 766233 851370 884115 1277055 1532466 1768230 2298699 2554110 3831165 4597398 7662330 11493495 22986990