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22240102224 = 2431964737691
BaseRepresentation
bin10100101101100111…
…010000011101010000
32010101221200020210210
4110231213100131100
5331021431232344
614114510324120
71415062515114
oct245547203520
963357606723
1022240102224
119482a59a7a
1243881b9640
13213580a502
14110da01744
158a2759db9
hex52d9d0750

22240102224 has 80 divisors (see below), whose sum is σ = 60572551680. Its totient is φ = 7012149120.

The previous prime is 22240102223. The next prime is 22240102249. The reversal of 22240102224 is 42220104222.

It is a self number, because there is not a number n which added to its sum of digits gives 22240102224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22240102223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571219 + ... + 608909.

It is an arithmetic number, because the mean of its divisors is an integer number (757156896).

Almost surely, 222240102224 is an apocalyptic number.

22240102224 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 22240102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30286275840).

22240102224 is an abundant number, since it is smaller than the sum of its proper divisors (38332449456).

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

22240102224 is a wasteful number, since it uses less digits than its factorization.

22240102224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38368 (or 38362 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 22240102224 its reverse (42220104222), we get a palindrome (64460206446).

The spelling of 22240102224 in words is "twenty-two billion, two hundred forty million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 647 912 1294 1941 2588 3882 5176 7764 10352 12293 15528 24586 31056 36879 37691 49172 73758 75382 98344 113073 147516 150764 196688 226146 295032 301528 452292 590064 603056 716129 904584 1432258 1809168 2148387 2864516 4296774 5729032 8593548 11458064 17187096 24386077 34374192 48772154 73158231 97544308 146316462 195088616 292632924 390177232 463335463 585265848 926670926 1170531696 1390006389 1853341852 2780012778 3706683704 5560025556 7413367408 11120051112 22240102224