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22406870460 = 223513143919963
BaseRepresentation
bin10100110111100011…
…011011010110111100
32010211120110221211010
4110313203123112330
5331342124323320
614143224555220
71422156153642
oct246743332674
963746427733
1022406870460
119559104467
124414022b10
13216122a840
141127c13192
158b21ecae0
hex5378db5bc

22406870460 has 96 divisors (see below), whose sum is σ = 67615672320. Its totient is φ = 5511428352.

The previous prime is 22406870443. The next prime is 22406870531. The reversal of 22406870460 is 6407860422.

It is a super-2 number, since 2×224068704602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1112439 + ... + 1132401.

It is an arithmetic number, because the mean of its divisors is an integer number (704329920).

Almost surely, 222406870460 is an apocalyptic number.

22406870460 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 22406870460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33807836160).

22406870460 is an abundant number, since it is smaller than the sum of its proper divisors (45208801860).

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

22406870460 is a wasteful number, since it uses less digits than its factorization.

22406870460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21427 (or 21425 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

It can be divided in two parts, 224068 and 70460, that added together give a triangular number (294528 = T767).

The spelling of 22406870460 in words is "twenty-two billion, four hundred six million, eight hundred seventy thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1439 2878 4317 5756 7195 8634 14390 17268 18707 19963 21585 28780 37414 39926 43170 56121 59889 74828 79852 86340 93535 99815 112242 119778 187070 199630 224484 239556 259519 280605 299445 374140 399260 519038 561210 598890 778557 1038076 1122420 1197780 1297595 1557114 2595190 3114228 3892785 5190380 7785570 15571140 28726757 57453514 86180271 114907028 143633785 172360542 287267570 344721084 373447841 430901355 574535140 746895682 861802710 1120343523 1493791364 1723605420 1867239205 2240687046 3734478410 4481374092 5601717615 7468956820 11203435230 22406870460