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2194735968 = 253297251313
BaseRepresentation
bin1000001011010001…
…0000001101100000
312122221210010202100
42002310100031200
513443323022333
61001440450400
7105246643065
oct20264201540
95587703670
102194735968
11a26964687
12513019a00
1328c90a649
1416b6aac6c
15cca2c213
hex82d10360

2194735968 has 144 divisors (see below), whose sum is σ = 6350971536. Its totient is φ = 718848000.

The previous prime is 2194735943. The next prime is 2194735981. The reversal of 2194735968 is 8695374912.

2194735968 is a `hidden beast` number, since 2 + 1 + 9 + 47 + 3 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7011780 + ... + 7012092.

It is an arithmetic number, because the mean of its divisors is an integer number (44103969).

Almost surely, 22194735968 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 2194735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175485768).

2194735968 is an abundant number, since it is smaller than the sum of its proper divisors (4156235568).

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

2194735968 is a wasteful number, since it uses less digits than its factorization.

2194735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 666 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 2194735968 is about 46848.0092213106. The cubic root of 2194735968 is about 1299.5532918839.

The spelling of 2194735968 in words is "two billion, one hundred ninety-four million, seven hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 251 288 291 313 388 502 582 626 753 776 873 939 1004 1164 1252 1506 1552 1746 1878 2008 2259 2328 2504 2817 3012 3104 3492 3756 4016 4518 4656 5008 5634 6024 6984 7512 8032 9036 9312 10016 11268 12048 13968 15024 18072 22536 24096 24347 27936 30048 30361 36144 45072 48694 60722 72288 73041 78563 90144 91083 97388 121444 146082 157126 182166 194776 219123 235689 242888 273249 292164 314252 364332 389552 438246 471378 485776 546498 584328 628504 707067 728664 779104 876492 942756 971552 1092996 1168656 1257008 1414134 1457328 1752984 1885512 2185992 2337312 2514016 2828268 2914656 3505968 3771024 4371984 5656536 7011936 7542048 7620611 8743968 11313072 15241222 22626144 22861833 30482444 45723666 60964888 68585499 91447332 121929776 137170998 182894664 243859552 274341996 365789328 548683992 731578656 1097367984 2194735968