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22420141520 = 2457414322709
BaseRepresentation
bin10100111000010110…
…000011010111010000
32010212111110012021212
4110320112003113100
5331404024012040
614144421235252
71422410026040
oct247026032720
963774405255
1022420141520
119565649187
124418562b28
132163bc623a
1411298a9720
158b346ed65
hex5385835d0

22420141520 has 160 divisors (see below), whose sum is σ = 62448503040. Its totient is φ = 7324692480.

The previous prime is 22420141517. The next prime is 22420141537. The reversal of 22420141520 is 2514102422.

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, 975926 + ... + 998634.

It is an arithmetic number, because the mean of its divisors is an integer number (390303144).

Almost surely, 222420141520 is an apocalyptic number.

22420141520 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 22420141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31224251520).

22420141520 is an abundant number, since it is smaller than the sum of its proper divisors (40028361520).

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

22420141520 is a wasteful number, since it uses less digits than its factorization.

22420141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22813 (or 22807 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 22420141520 its reverse (2514102422), we get a palindrome (24934243942).

The spelling of 22420141520 in words is "twenty-two billion, four hundred twenty million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 43 56 70 80 82 86 112 140 164 172 205 215 280 287 301 328 344 410 430 560 574 602 656 688 820 860 1148 1204 1435 1505 1640 1720 1763 2296 2408 2870 3010 3280 3440 3526 4592 4816 5740 6020 7052 8815 11480 12040 12341 14104 17630 22709 22960 24080 24682 28208 35260 45418 49364 61705 70520 90836 98728 113545 123410 141040 158963 181672 197456 227090 246820 317926 363344 454180 493640 635852 794815 908360 931069 976487 987280 1271704 1589630 1816720 1862138 1952974 2543408 3179260 3724276 3905948 4655345 4882435 6358520 6517483 6835409 7448552 7811896 9310690 9764870 12717040 13034966 13670818 14897104 15623792 18621380 19529740 26069932 27341636 32587415 34177045 37242760 39059480 40035967 52139864 54683272 65174830 68354090 74485520 78118960 80071934 104279728 109366544 130349660 136708180 160143868 200179835 260699320 273416360 280251769 320287736 400359670 521398640 546832720 560503538 640575472 800719340 1121007076 1401258845 1601438680 2242014152 2802517690 3202877360 4484028304 5605035380 11210070760 22420141520