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2320663140 = 2232541314453
BaseRepresentation
bin1000101001010010…
…1000001001100100
312222201201220100200
42022110220021210
514223042210030
61022135510500
7111336211515
oct21224501144
95881656320
102320663140
11a90a54624
12549228430
132aca2b373
141802caa0c
15d8b03d60
hex8a528264

2320663140 has 72 divisors (see below), whose sum is σ = 7211059128. Its totient is φ = 603747840.

The previous prime is 2320663123. The next prime is 2320663159. The reversal of 2320663140 is 413660232.

2320663140 is a `hidden beast` number, since 2 + 3 + 20 + 6 + 631 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17239104 + 2303424036 = 4152^2 + 47994^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149847 + ... + 164606.

It is an arithmetic number, because the mean of its divisors is an integer number (100153599).

Almost surely, 22320663140 is an apocalyptic number.

2320663140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320663140 is an abundant number, since it is smaller than the sum of its proper divisors (4890395988).

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

2320663140 is a wasteful number, since it uses less digits than its factorization.

2320663140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314509 (or 314504 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2320663140 is about 48173.2616707650. The cubic root of 2320663140 is about 1323.9473095986.

The spelling of 2320663140 in words is "two billion, three hundred twenty million, six hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 314453 628906 943359 1257812 1572265 1886718 2830077 3144530 3773436 4716795 5660154 6289060 9433590 11320308 12892573 14150385 18867180 25785146 28300770 38677719 51570292 56601540 64462865 77355438 116033157 128925730 154710876 193388595 232066314 257851460 386777190 464132628 580165785 773554380 1160331570 2320663140