Search a number
-
+
22943394816 = 210323933121
BaseRepresentation
bin10101010111100010…
…000110110000000000
32012012222001012212120
4111113202012300000
5333442002113231
614312352324240
71441362431616
oct252742066000
965188035776
1022943394816
119803a48121
124543843680
132218430484
1411791956b6
158e437cd96
hex557886c00

22943394816 has 88 divisors (see below), whose sum is σ = 61197668784. Its totient is φ = 7642152960.

The previous prime is 22943394797. The next prime is 22943394823. The reversal of 22943394816 is 61849334922.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7349736 + ... + 7352856.

Almost surely, 222943394816 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 22943394816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598834392).

22943394816 is an abundant number, since it is smaller than the sum of its proper divisors (38254273968).

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

22943394816 is a wasteful number, since it uses less digits than its factorization.

22943394816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5519 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 22943394816 in words is "twenty-two billion, nine hundred forty-three million, three hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2393 3072 3121 4786 6242 7179 9363 9572 12484 14358 18726 19144 24968 28716 37452 38288 49936 57432 74904 76576 99872 114864 149808 153152 199744 229728 299616 306304 399488 459456 599232 612608 798976 918912 1198464 1225216 1597952 1837824 2396928 2450432 3195904 3675648 4793856 7351296 7468553 9587712 14937106 22405659 29874212 44811318 59748424 89622636 119496848 179245272 238993696 358490544 477987392 716981088 955974784 1433962176 1911949568 2867924352 3823899136 5735848704 7647798272 11471697408 22943394816