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22013403412 = 227111317093217
BaseRepresentation
bin10100100000000110…
…011110000100010100
32002211011002202111111
4110200012132010110
5330040412402122
614040211344404
71406340561460
oct244006360424
962734082444
1022013403412
119376aa0890
1243242b2104
1320ca8659c0
1410cb86d4a0
1588c8c9d77
hex52019e114

22013403412 has 96 divisors (see below), whose sum is σ = 51770154240. Its totient is φ = 7909816320.

The previous prime is 22013403409. The next prime is 22013403427. The reversal of 22013403412 is 21430431022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6841228 + ... + 6844444.

It is an arithmetic number, because the mean of its divisors is an integer number (539272440).

Almost surely, 222013403412 is an apocalyptic number.

22013403412 is a gapful number since it is divisible by the number (22) 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 22013403412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25885077120).

22013403412 is an abundant number, since it is smaller than the sum of its proper divisors (29756750828).

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

22013403412 is a wasteful number, since it uses less digits than its factorization.

22013403412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22013403412 its reverse (21430431022), we get a palindrome (43443834434).

The spelling of 22013403412 in words is "twenty-two billion, thirteen million, four hundred three thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1709 2002 3217 3418 4004 6434 6836 11963 12868 18799 22217 22519 23926 35387 37598 41821 44434 45038 47852 70774 75196 83642 88868 90076 131593 141548 155519 167284 244387 247709 263186 292747 311038 460031 488774 495418 526372 585494 622076 920062 977548 990836 1170988 1710709 1840124 3220217 3421418 5497853 6440434 6842836 10995706 12880868 21991412 38484971 60476383 71472089 76969942 120952766 142944178 153939884 241905532 285888356 423334681 500304623 786192979 846669362 1000609246 1572385958 1693338724 2001218492 3144771916 5503350853 11006701706 22013403412