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2142199660 = 2252513891097
BaseRepresentation
bin111111110101111…
…0101111101101100
312112021221000111011
41333223311331230
513341400342120
6552322435004
7104041253026
oct17753657554
95467830434
102142199660
119aa241347
124b9502a64
13281a74983
14164713016
15c8100c5a
hex7faf5f6c

2142199660 has 48 divisors (see below), whose sum is σ = 4532280480. Its totient is φ = 850496000.

The previous prime is 2142199649. The next prime is 2142199667. The reversal of 2142199660 is 669912412.

It is not an unprimeable number, because it can be changed into a prime (2142199667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1952232 + ... + 1953328.

It is an arithmetic number, because the mean of its divisors is an integer number (94422510).

Almost surely, 22142199660 is an apocalyptic number.

2142199660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142199660 is an abundant number, since it is smaller than the sum of its proper divisors (2390080820).

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

2142199660 is a wasteful number, since it uses less digits than its factorization.

2142199660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 2142199660 is about 46283.9028172863. The cubic root of 2142199660 is about 1289.1001195564.

The spelling of 2142199660 in words is "two billion, one hundred forty-two million, one hundred ninety-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 251 389 502 778 1004 1097 1255 1556 1945 2194 2510 3890 4388 5020 5485 7780 10970 21940 97639 195278 275347 390556 426733 488195 550694 853466 976390 1101388 1376735 1706932 1952780 2133665 2753470 4267330 5506940 8534660 107109983 214219966 428439932 535549915 1071099830 2142199660