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2197125960 = 2335103177761
BaseRepresentation
bin1000001011110101…
…0111101101001000
312200010021120012120
42002331113231020
513444431012320
61002004011240
7105306156021
oct20275275510
95603246176
102197125960
11a28247287
12513990b20
13290266443
1416bb2dc48
15ccd50440
hex82f57b48

2197125960 has 64 divisors (see below), whose sum is σ = 6655409280. Its totient is φ = 580208640.

The previous prime is 2197125947. The next prime is 2197125977. The reversal of 2197125960 is 695217912.

2197125960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 76521 + ... + 101240.

It is an arithmetic number, because the mean of its divisors is an integer number (103990770).

Almost surely, 22197125960 is an apocalyptic number.

2197125960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2197125960 is an abundant number, since it is smaller than the sum of its proper divisors (4458283320).

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

2197125960 is a wasteful number, since it uses less digits than its factorization.

2197125960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177878 (or 177874 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 2197125960 is about 46873.5102163258. The cubic root of 2197125960 is about 1300.0248437067.

The spelling of 2197125960 in words is "two billion, one hundred ninety-seven million, one hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 177761 355522 533283 711044 888805 1066566 1422088 1777610 2133132 2666415 3555220 4266264 5332830 7110440 10665660 18309383 21331320 36618766 54928149 73237532 91546915 109856298 146475064 183093830 219712596 274640745 366187660 439425192 549281490 732375320 1098562980 2197125960