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22501015420 = 22513794792287
BaseRepresentation
bin10100111101001010…
…100011111101111100
32011002010122000102111
4110331022203331330
5332040224443140
614200430503404
71424411322022
oct247512437574
964063560374
1022501015420
1195a7266a14
12443b664b64
1321778a1310
14113651c712
158ba5e77ea
hex53d2a3f7c

22501015420 has 96 divisors (see below), whose sum is σ = 51661209600. Its totient is φ = 8182197504.

The previous prime is 22501015343. The next prime is 22501015457. The reversal of 22501015420 is 2451010522.

It is a junction number, because it is equal to n+sod(n) for n = 22501015391 and 22501015400.

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, 9837517 + ... + 9839803.

It is an arithmetic number, because the mean of its divisors is an integer number (538137600).

Almost surely, 222501015420 is an apocalyptic number.

22501015420 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 22501015420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25830604800).

22501015420 is an abundant number, since it is smaller than the sum of its proper divisors (29160194180).

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

22501015420 is a wasteful number, since it uses less digits than its factorization.

22501015420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 22501015420 its reverse (2451010522), we get a palindrome (24952025942).

The spelling of 22501015420 in words is "twenty-two billion, five hundred one million, fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 479 790 958 1027 1580 1916 2054 2287 2395 4108 4574 4790 5135 6227 9148 9580 10270 11435 12454 20540 22870 24908 29731 31135 37841 45740 59462 62270 75682 118924 124540 148655 151364 180673 189205 297310 361346 378410 491933 594620 722692 756820 903365 983866 1095473 1806730 1967732 2190946 2348749 2459665 3613460 4381892 4697498 4919330 5477365 9394996 9838660 10954730 11743745 14241149 21909460 23487490 28482298 46974980 56964596 71205745 86542367 142411490 173084734 284822980 346169468 432711835 865423670 1125050771 1730847340 2250101542 4500203084 5625253855 11250507710 22501015420