Search a number
-
+
22248166432 = 2519236472459
BaseRepresentation
bin10100101110000110…
…000001010000100000
32010102111211221211011
4110232012001100200
5331031012311212
614115355230304
71415221202662
oct245606012040
963374757734
1022248166432
119487567808
12438aa48394
1321373a1c2b
141110b00532
158a32ee4a7
hex52e181420

22248166432 has 96 divisors (see below), whose sum is σ = 48204979200. Its totient is φ = 10060731648.

The previous prime is 22248166427. The next prime is 22248166433. The reversal of 22248166432 is 23466184222.

It is a super-2 number, since 2×222481664322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22248166433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9046419 + ... + 9048877.

It is an arithmetic number, because the mean of its divisors is an integer number (502135200).

Almost surely, 222248166432 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 22248166432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24102489600).

22248166432 is an abundant number, since it is smaller than the sum of its proper divisors (25956812768).

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

22248166432 is a wasteful number, since it uses less digits than its factorization.

22248166432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3150 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The spelling of 22248166432 in words is "twenty-two billion, two hundred forty-eight million, one hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 647 736 874 1294 1748 2459 2588 3496 4918 5176 6992 9836 10352 12293 13984 14881 19672 20704 24586 29762 39344 46721 49172 56557 59524 78688 93442 98344 113114 119048 186884 196688 226228 238096 282739 373768 393376 452456 476192 565478 747536 904912 1074583 1130956 1495072 1590973 1809824 2149166 2261912 3181946 4298332 4523824 6363892 8596664 9047648 12727784 17193328 25455568 30228487 34386656 36592379 50911136 60456974 73184758 120913948 146369516 241827896 292739032 483655792 585478064 695255201 967311584 1170956128 1390510402 2781020804 5562041608 11124083216 22248166432