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22307040 = 2532572213
BaseRepresentation
bin101010100011…
…0000011100000
31112222022111200
41111012003200
521202311130
62114041200
7360415050
oct125060340
945868450
1022307040
1111656678
127579200
134810542
142d69560
151e59760
hex15460e0

22307040 has 144 divisors (see below), whose sum is σ = 87036768. Its totient is φ = 5096448.

The previous prime is 22307027. The next prime is 22307057. The reversal of 22307040 is 4070322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×223070403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 8974 + ... + 11186.

It is an arithmetic number, because the mean of its divisors is an integer number (604422).

Almost surely, 222307040 is an apocalyptic number.

22307040 is a gapful number since it is divisible by the number (20) 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 22307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43518384).

22307040 is an abundant number, since it is smaller than the sum of its proper divisors (64729728).

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

22307040 is a wasteful number, since it uses less digits than its factorization.

22307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 22307040 is about 4723.0329238742. The cubic root of 22307040 is about 281.5014580740.

Adding to 22307040 its reverse (4070322), we get a palindrome (26377362).

The spelling of 22307040 in words is "twenty-two million, three hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2213 2520 3360 4426 5040 6639 8852 10080 11065 13278 15491 17704 19917 22130 26556 30982 33195 35408 39834 44260 46473 53112 61964 66390 70816 77455 79668 88520 92946 99585 106224 123928 132780 139419 154910 159336 177040 185892 199170 212448 232365 247856 265560 278838 309820 318672 354080 371784 398340 464730 495712 531120 557676 619640 637344 697095 743568 796680 929460 1062240 1115352 1239280 1394190 1487136 1593360 1858920 2230704 2478560 2788380 3186720 3717840 4461408 5576760 7435680 11153520 22307040