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22244244432 = 24331112913241
BaseRepresentation
bin10100101101110111…
…000011101111010000
32010102020110200211220
4110231313003233100
5331024011310212
614115135205040
71415142646404
oct245567035720
963366420756
1022244244432
119485329093
124389676780
13213662aa17
14111039d104
158a2cc738c
hex52ddc3bd0

22244244432 has 80 divisors (see below), whose sum is σ = 59375009280. Its totient is φ = 7168665600.

The previous prime is 22244244431. The next prime is 22244244457. The reversal of 22244244432 is 23444244222.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22244244393 and 22244244402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244244431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1673332 + ... + 1686572.

It is an arithmetic number, because the mean of its divisors is an integer number (742187616).

Almost surely, 222244244432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22244244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29687504640).

22244244432 is an abundant number, since it is smaller than the sum of its proper divisors (37130764848).

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

22244244432 is a wasteful number, since it uses less digits than its factorization.

22244244432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412 (or 14406 counting only the distinct ones).

The product of its digits is 98304, while the sum is 33.

Adding to 22244244432 its reverse (23444244222), we get a palindrome (45688488654).

The spelling of 22244244432 in words is "twenty-two billion, two hundred forty-four million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1129 1488 2258 3387 4516 6774 9032 13241 13548 18064 26482 27096 34999 39723 52964 54192 69998 79446 104997 105928 139996 158892 209994 211856 279992 317784 410471 419988 559984 635568 820942 839976 1231413 1641884 1679952 2462826 3283768 4925652 6567536 9851304 14949089 19702608 29898178 44847267 59796356 89694534 119592712 179389068 239185424 358778136 463421759 717556272 926843518 1390265277 1853687036 2780530554 3707374072 5561061108 7414748144 11122122216 22244244432