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22530240440 = 2354383971627
BaseRepresentation
bin10100111110111010…
…000010111110111000
32011011011121210121122
4110332322002332320
5332120220143230
614203353124412
71425214612121
oct247672027670
964134553548
1022530240440
119611808124
1244493b9708
132180964626
14113a369048
158bce6bbe5
hex53ee82fb8

22530240440 has 128 divisors (see below), whose sum is σ = 53070716160. Its totient is φ = 8601513984.

The previous prime is 22530240401. The next prime is 22530240449. The reversal of 22530240440 is 4404203522.

It is a happy number.

It is a super-2 number, since 2×225302404402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530240449) 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, 13846907 + ... + 13848533.

It is an arithmetic number, because the mean of its divisors is an integer number (414614970).

Almost surely, 222530240440 is an apocalyptic number.

22530240440 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 22530240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535358080).

22530240440 is an abundant number, since it is smaller than the sum of its proper divisors (30540475720).

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

22530240440 is a wasteful number, since it uses less digits than its factorization.

22530240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1857 counting only the distinct ones).

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

Adding to 22530240440 its reverse (4404203522), we get a palindrome (26934443962).

The spelling of 22530240440 in words is "twenty-two billion, five hundred thirty million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 83 86 97 166 172 194 215 332 344 388 415 430 485 664 776 830 860 970 1627 1660 1720 1940 3254 3320 3569 3880 4171 6508 7138 8051 8135 8342 13016 14276 16102 16270 16684 17845 20855 28552 32204 32540 33368 35690 40255 41710 64408 65080 69961 71380 80510 83420 135041 139922 142760 157819 161020 166840 270082 279844 315638 322040 346193 349805 540164 559688 631276 675205 692386 699610 789095 1080328 1262552 1350410 1384772 1399220 1578190 1730965 2700820 2769544 2798440 3156380 3461930 5401640 5806763 6312760 6786217 6923860 11613526 13098977 13572434 13847720 23227052 26197954 27144868 29033815 33931085 46454104 52395908 54289736 58067630 65494885 67862170 104791816 116135260 130989770 135724340 232270520 261979540 271448680 523959080 563256011 1126512022 2253024044 2816280055 4506048088 5632560110 11265120220 22530240440