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22540322420 = 22572117328643
BaseRepresentation
bin10100111111100000…
…100000011001110100
32011011212121000111022
4110333200200121310
5332130310304140
614204353200312
71425366402500
oct247740403164
964155530438
1022540322420
119617473940
124450860098
132182a845b5
14113b831300
158bdcae0b5
hex53f820674

22540322420 has 144 divisors (see below), whose sum is σ = 60893477568. Its totient is φ = 6929072640.

The previous prime is 22540322407. The next prime is 22540322429. The reversal of 22540322420 is 2422304522.

It is a happy number.

It is a super-2 number, since 2×225403224202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22540322420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22540322429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772619 + ... + 801261.

It is an arithmetic number, because the mean of its divisors is an integer number (422871372).

Almost surely, 222540322420 is an apocalyptic number.

22540322420 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 22540322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30446738784).

22540322420 is an abundant number, since it is smaller than the sum of its proper divisors (38353155148).

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

22540322420 is a wasteful number, since it uses less digits than its factorization.

22540322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28750 (or 28741 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 22540322420 its reverse (2422304522), we get a palindrome (24962626942).

The spelling of 22540322420 in words is "twenty-two billion, five hundred forty million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 73 77 98 110 140 146 154 196 220 245 292 308 365 385 490 511 539 730 770 803 980 1022 1078 1460 1540 1606 2044 2156 2555 2695 3212 3577 4015 5110 5390 5621 7154 8030 10220 10780 11242 14308 16060 17885 22484 28105 28643 35770 39347 56210 57286 71540 78694 112420 114572 143215 157388 196735 200501 286430 315073 393470 401002 572860 630146 786940 802004 1002505 1260292 1403507 1575365 2005010 2090939 2205511 2807014 3150730 4010020 4181878 4411022 5614028 6301460 7017535 8363756 8822044 10454695 11027555 14035070 14636573 15438577 20909390 22055110 23000329 28070140 29273146 30877154 41818780 44110220 46000658 58546292 61754308 73182865 77192885 92001316 102456011 115001645 146365730 154385770 161002303 204912022 230003290 292731460 308771540 322004606 409824044 460006580 512280055 644009212 805011515 1024560110 1127016121 1610023030 2049120220 2254032242 3220046060 4508064484 5635080605 11270161210 22540322420