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2144242920 = 233549935809
BaseRepresentation
bin111111111001110…
…1000110011101000
312112102202211022110
41333303220303220
513342411233140
6552434322320
7104064523041
oct17763506350
95472684273
102144242920
11a00407496
124ba1293a0
1328230b9c1
14164ac58c8
15c83a6380
hex7fce8ce8

2144242920 has 64 divisors (see below), whose sum is σ = 6445800000. Its totient is φ = 570636288.

The previous prime is 2144242901. The next prime is 2144242921. The reversal of 2144242920 is 292424412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2144242921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41976 + ... + 77784.

It is an arithmetic number, because the mean of its divisors is an integer number (100715625).

Almost surely, 22144242920 is an apocalyptic number.

2144242920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144242920 is an abundant number, since it is smaller than the sum of its proper divisors (4301557080).

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

2144242920 is a wasteful number, since it uses less digits than its factorization.

2144242920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36322 (or 36318 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2144242920 is about 46305.9706733376. The cubic root of 2144242920 is about 1289.5098432258.

The spelling of 2144242920 in words is "two billion, one hundred forty-four million, two hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 499 998 1497 1996 2495 2994 3992 4990 5988 7485 9980 11976 14970 19960 29940 35809 59880 71618 107427 143236 179045 214854 286472 358090 429708 537135 716180 859416 1074270 1432360 2148540 4297080 17868691 35737382 53606073 71474764 89343455 107212146 142949528 178686910 214424292 268030365 357373820 428848584 536060730 714747640 1072121460 2144242920