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21552212240 = 245131910110799
BaseRepresentation
bin10100000100100111…
…001010100100010000
32001122000021211010222
4110010213022210100
5323114331242430
613522334412212
71362040532006
oct240447124420
961560254128
1021552212240
11915a731059
124215961068
13205614b210
1410864daa76
1586217a9e5
hex5049ca910

21552212240 has 160 divisors (see below), whose sum is σ = 57371328000. Its totient is φ = 7463577600.

The previous prime is 21552212239. The next prime is 21552212273. The reversal of 21552212240 is 4221225512.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1990361 + ... + 2001159.

It is an arithmetic number, because the mean of its divisors is an integer number (358570800).

Almost surely, 221552212240 is an apocalyptic number.

21552212240 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 21552212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685664000).

21552212240 is an abundant number, since it is smaller than the sum of its proper divisors (35819115760).

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

21552212240 is a wasteful number, since it uses less digits than its factorization.

21552212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10945 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 21552212240 its reverse (4221225512), we get a palindrome (25773437752).

The spelling of 21552212240 in words is "twenty-one billion, five hundred fifty-two million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 101 104 130 152 190 202 208 247 260 304 380 404 494 505 520 760 808 988 1010 1040 1235 1313 1520 1616 1919 1976 2020 2470 2626 3838 3952 4040 4940 5252 6565 7676 8080 9595 9880 10504 10799 13130 15352 19190 19760 21008 21598 24947 26260 30704 38380 43196 49894 52520 53995 76760 86392 99788 105040 107990 124735 140387 153520 172784 199576 205181 215980 249470 280774 399152 410362 431960 498940 561548 701935 820724 863920 997880 1025905 1090699 1123096 1403870 1641448 1995760 2051810 2181398 2246192 2667353 2807740 3282896 4103620 4362796 5334706 5453495 5615480 8207240 8725592 10669412 10906990 11230960 13336765 14179087 16414480 17451184 20723281 21338824 21813980 26673530 28358174 41446562 42677648 43627960 53347060 56716348 70895435 82893124 87255920 103616405 106694120 113432696 141790870 165786248 207232810 213388240 226865392 269402653 283581740 331572496 414465620 538805306 567163480 828931240 1077610612 1134326960 1347013265 1657862480 2155221224 2694026530 4310442448 5388053060 10776106120 21552212240