Search a number
-
+
22212552224 = 2519592512467
BaseRepresentation
bin10100101011111110…
…001010011000100000
32010100000211120022102
4110223332022120200
5330442403132344
614112044025532
71414306402322
oct245376123040
963300746272
1022212552224
119469452285
12437ab322a8
13212cbb2735
14110a0ad612
158a0116e4e
hex52bf8a620

22212552224 has 96 divisors (see below), whose sum is σ = 47018361600. Its totient is φ = 10298016000.

The previous prime is 22212552209. The next prime is 22212552251. The reversal of 22212552224 is 42225521222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9002639 + ... + 9005105.

It is an arithmetic number, because the mean of its divisors is an integer number (489774600).

Almost surely, 222212552224 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 22212552224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23509180800).

22212552224 is an abundant number, since it is smaller than the sum of its proper divisors (24805809376).

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

22212552224 is a wasteful number, since it uses less digits than its factorization.

22212552224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2798 counting only the distinct ones).

The product of its digits is 12800, while the sum is 29.

The spelling of 22212552224 in words is "twenty-two billion, two hundred twelve million, five hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 251 304 472 502 608 944 1004 1121 1888 2008 2242 2467 4016 4484 4769 4934 8032 8968 9538 9868 14809 17936 19076 19736 29618 35872 38152 39472 46873 59236 76304 78944 93746 118472 145553 152608 187492 236944 281371 291106 374984 473888 562742 582212 619217 749968 1125484 1164424 1238434 1499936 2250968 2328848 2476868 2765507 4501936 4657696 4953736 5531014 9003872 9907472 11062028 11765123 19814944 22124056 23530246 36533803 44248112 47060492 73067606 88496224 94120984 146135212 188241968 292270424 376483936 584540848 694142257 1169081696 1388284514 2776569028 5553138056 11106276112 22212552224