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22252016440 = 2351931879187
BaseRepresentation
bin10100101110010100…
…101101001100111000
32010102210002120001001
4110232110231030320
5331033004011230
614120013534344
71415266006333
oct245624551470
963383076031
1022252016440
119489757335
1243901a43b4
13213811c444
14111142361a
158a38100ca
hex52e52d338

22252016440 has 64 divisors (see below), whose sum is σ = 52724419200. Its totient is φ = 8428779648.

The previous prime is 22252016417. The next prime is 22252016441. The reversal of 22252016440 is 4461025222.

It is a junction number, because it is equal to n+sod(n) for n = 22252016399 and 22252016408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252016441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2417527 + ... + 2426713.

It is an arithmetic number, because the mean of its divisors is an integer number (823819050).

Almost surely, 222252016440 is an apocalyptic number.

22252016440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22252016440 is an abundant number, since it is smaller than the sum of its proper divisors (30472402760).

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

22252016440 is a wasteful number, since it uses less digits than its factorization.

22252016440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 22252016440 in words is "twenty-two billion, two hundred fifty-two million, sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 3187 6374 9187 12748 15935 18374 25496 31870 36748 45935 60553 63740 73496 91870 121106 127480 174553 183740 242212 302765 349106 367480 484424 605530 698212 872765 1211060 1396424 1745530 2422120 3491060 6982120 29278969 58557938 117115876 146394845 234231752 292789690 556300411 585579380 1112600822 1171158760 2225201644 2781502055 4450403288 5563004110 11126008220 22252016440