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22626226540 = 225231093111451
BaseRepresentation
bin10101000100101000…
…001101000101101100
32011101212020101210101
4111010220031011230
5332314303222130
614221102320444
71430461516021
oct250450150554
964355211711
1022626226540
119660a07985
124475589124
132197801138
141148dd3548
158c65cc1ca
hex544a0d16c

22626226540 has 96 divisors (see below), whose sum is σ = 50231301120. Its totient is φ = 8544096000.

The previous prime is 22626226531. The next prime is 22626226541. The reversal of 22626226540 is 4562262622.

It is a super-2 number, since 2×226262265402 (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 22626226540.

It is not an unprimeable number, because it can be changed into a prime (22626226541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15592815 + ... + 15594265.

It is an arithmetic number, because the mean of its divisors is an integer number (523242720).

Almost surely, 222626226540 is an apocalyptic number.

22626226540 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 22626226540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25115650560).

22626226540 is an abundant number, since it is smaller than the sum of its proper divisors (27605074580).

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

22626226540 is a wasteful number, since it uses less digits than its factorization.

22626226540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 22626226540 in words is "twenty-two billion, six hundred twenty-six million, two hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 218 230 311 436 460 545 622 1090 1244 1451 1555 2180 2507 2902 3110 5014 5804 6220 7153 7255 10028 12535 14306 14510 25070 28612 29020 33373 33899 35765 50140 66746 67798 71530 133492 135596 143060 158159 166865 169495 316318 333730 338990 451261 632636 667460 677980 779677 790795 902522 1559354 1581590 1805044 2256305 3118708 3163180 3637657 3898385 4512610 7275314 7796770 9025220 10379003 14550628 15593540 18188285 20758006 36376570 41516012 49187449 51895015 72753140 98374898 103790030 196749796 207580060 245937245 491874490 983748980 1131311327 2262622654 4525245308 5656556635 11313113270 22626226540