Search a number
-
+
22239160384 = 267226632
BaseRepresentation
bin10100101101100011…
…101010100001000000
32010101212220101211211
4110231203222201000
5331021211113014
614114434215504
71415051513200
oct245543524100
963355811754
1022239160384
1194824763a1
124387a24594
13213556a8cc
14110d838400
158a2620cc4
hex52d8ea840

22239160384 has 63 divisors (see below), whose sum is σ = 51355152687. Its totient is φ = 9527489664.

The previous prime is 22239160367. The next prime is 22239160417. The reversal of 22239160384 is 48306193222.

The square root of 22239160384 is 149128.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8349837 + ... + 8352499.

Almost surely, 222239160384 is an apocalyptic number.

22239160384 is the 149128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22239160384

22239160384 is an abundant number, since it is smaller than the sum of its proper divisors (29115992303).

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

22239160384 is an frugal number, since it uses more digits than its factorization.

22239160384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 22239160384 in words is "twenty-two billion, two hundred thirty-nine million, one hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2663 3136 5326 10652 18641 21304 37282 42608 74564 85216 130487 149128 170432 260974 298256 521948 596512 1043896 1193024 2087792 4175584 7091569 8351168 14183138 28366276 49640983 56732552 99281966 113465104 198563932 226930208 347486881 397127864 453860416 694973762 794255728 1389947524 1588511456 2779895048 3177022912 5559790096 11119580192 22239160384