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22321003124 = 2272613675087
BaseRepresentation
bin10100110010011011…
…110111101001110100
32010121120220102222102
4110302123313221310
5331203134044444
614130520321232
71420064252600
oct246233675164
963546812872
1022321003124
119514696022
1243ab313218
1321494c4974
14111a660500
158a98da84e
hex5326f7a74

22321003124 has 72 divisors (see below), whose sum is σ = 46319035392. Its totient is φ = 9381839040.

The previous prime is 22321003123. The next prime is 22321003139. The reversal of 22321003124 is 42130012322.

It is a super-3 number, since 3×223210031243 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22321003096 and 22321003105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22321003123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4385309 + ... + 4390395.

It is an arithmetic number, because the mean of its divisors is an integer number (643319936).

Almost surely, 222321003124 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 22321003124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23159517696).

22321003124 is an abundant number, since it is smaller than the sum of its proper divisors (23998032268).

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

22321003124 is a wasteful number, since it uses less digits than its factorization.

22321003124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22321003124 its reverse (42130012322), we get a palindrome (64451015446).

The spelling of 22321003124 in words is "twenty-two billion, three hundred twenty-one million, three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 367 427 734 854 1468 1708 2569 2989 5087 5138 5978 10174 10276 11956 17983 20348 22387 35609 35966 44774 71218 71932 89548 142436 156709 249263 310307 313418 498526 620614 626836 997052 1096963 1241228 1866929 2172149 2193926 3733858 4344298 4387852 7467716 8688596 13068503 15205043 26137006 30410086 52274012 60820172 91479521 113882669 182959042 227765338 365918084 455530676 797178683 1594357366 3188714732 5580250781 11160501562 22321003124