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22991040 = 26345887
BaseRepresentation
bin101011110110…
…1000011000000
31121021001210000
41113231003000
521341203130
62140440000
7366264162
oct127550300
947231700
1022991040
1111a83566
127849000
1349bc987
1430a6932
152042260
hex15ed0c0

22991040 has 140 divisors (see below), whose sum is σ = 81875376. Its totient is φ = 6124032.

The previous prime is 22991011. The next prime is 22991041. The reversal of 22991040 is 4019922.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22990995 and 22991013.

It is not an unprimeable number, because it can be changed into a prime (22991041) 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 19 ways as a sum of consecutive naturals, for example, 25477 + ... + 26363.

Almost surely, 222991040 is an apocalyptic number.

22991040 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 22991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40937688).

22991040 is an abundant number, since it is smaller than the sum of its proper divisors (58884336).

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

22991040 is an equidigital number, since it uses as much as digits as its factorization.

22991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 22991040 is about 4794.8972877425. The cubic root of 22991040 is about 284.3497641334.

The spelling of 22991040 in words is "twenty-two million, nine hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 887 960 1080 1296 1440 1620 1728 1774 2160 2592 2661 2880 3240 3548 4320 4435 5184 5322 6480 7096 7983 8640 8870 10644 12960 13305 14192 15966 17740 21288 23949 25920 26610 28384 31932 35480 39915 42576 47898 53220 56768 63864 70960 71847 79830 85152 95796 106440 119745 127728 141920 143694 159660 170304 191592 212880 239490 255456 283840 287388 319320 359235 383184 425760 478980 510912 574776 638640 718470 766368 851520 957960 1149552 1277280 1436940 1532736 1915920 2299104 2554560 2873880 3831840 4598208 5747760 7663680 11495520 22991040