Search a number
-
+
21225421344 = 253538350261
BaseRepresentation
bin10011110001001000…
…100011101000100000
32000210020101010022110
4103301020203220200
5321432201440334
613430102235320
71350662050611
oct236110435040
960706333273
1021225421344
119002219236
124144425b40
13200353001a
141054d51c08
15843628ae9
hex4f1223a20

21225421344 has 96 divisors (see below), whose sum is σ = 57453084864. Its totient is φ = 6857876480.

The previous prime is 21225421339. The next prime is 21225421363. The reversal of 21225421344 is 44312452212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×212254213442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397174 + ... + 447434.

It is an arithmetic number, because the mean of its divisors is an integer number (598469634).

Almost surely, 221225421344 is an apocalyptic number.

21225421344 is a gapful number since it is divisible by the number (24) 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 21225421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28726542432).

21225421344 is an abundant number, since it is smaller than the sum of its proper divisors (36227663520).

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

21225421344 is a wasteful number, since it uses less digits than its factorization.

21225421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50410 (or 50402 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 21225421344 its reverse (44312452212), we get a palindrome (65537873556).

The spelling of 21225421344 in words is "twenty-one billion, two hundred twenty-five million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 83 96 106 159 166 212 249 318 332 424 498 636 664 848 996 1272 1328 1696 1992 2544 2656 3984 4399 5088 7968 8798 13197 17596 26394 35192 50261 52788 70384 100522 105576 140768 150783 201044 211152 301566 402088 422304 603132 804176 1206264 1608352 2412528 2663833 4171663 4825056 5327666 7991499 8343326 10655332 12514989 15982998 16686652 21310664 25029978 31965996 33373304 42621328 50059956 63931992 66746608 85242656 100119912 127863984 133493216 200239824 221098139 255727968 400479648 442196278 663294417 884392556 1326588834 1768785112 2653177668 3537570224 5306355336 7075140448 10612710672 21225421344