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10223615460 = 22352339718661
BaseRepresentation
bin10011000010101111…
…11111110111100100
3222101111112110212110
421201113333313210
5131414221143320
64410251321020
7511231204032
oct114127776744
928344473773
1010223615460
114376a67683
121b93a50170
13c6c122706
146cdb31552
153ec82e5e0
hex2615ffde4

10223615460 has 96 divisors (see below), whose sum is σ = 29947583232. Its totient is φ = 2601054720.

The previous prime is 10223615429. The next prime is 10223615489. The reversal of 10223615460 is 6451632201.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 538530 + ... + 557190.

It is an arithmetic number, because the mean of its divisors is an integer number (311953992).

Almost surely, 210223615460 is an apocalyptic number.

10223615460 is a gapful number since it is divisible by the number (10) 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 10223615460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14973791616).

10223615460 is an abundant number, since it is smaller than the sum of its proper divisors (19723967772).

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

10223615460 is a wasteful number, since it uses less digits than its factorization.

10223615460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19093 (or 19091 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10223615460 in words is "ten billion, two hundred twenty-three million, six hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 397 460 690 794 1191 1380 1588 1985 2382 3970 4764 5955 7940 9131 11910 18262 18661 23820 27393 36524 37322 45655 54786 55983 74644 91310 93305 109572 111966 136965 182620 186610 223932 273930 279915 373220 429203 547860 559830 858406 1119660 1287609 1716812 2146015 2575218 4292030 5150436 6438045 7408417 8584060 12876090 14816834 22225251 25752180 29633668 37042085 44450502 74084170 88901004 111126255 148168340 170393591 222252510 340787182 444505020 511180773 681574364 851967955 1022361546 1703935910 2044723092 2555903865 3407871820 5111807730 10223615460