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2468893320 = 2332531221227
BaseRepresentation
bin1001001100101000…
…0101001010001000
320101001122202221100
42103022011022020
520024014041240
61044552541400
7115116150465
oct22312051210
96331582840
102468893320
111057698103
1258a9b1860
1330465a82a
14195c7466c
15e6b33e30
hex93285288

2468893320 has 96 divisors (see below), whose sum is σ = 8282776320. Its totient is φ = 637130880.

The previous prime is 2468893267. The next prime is 2468893327. The reversal of 2468893320 is 233988642.

2468893320 is a `hidden beast` number, since 246 + 8 + 89 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2468893327) by changing a digit.

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, 99454 + ... + 121773.

It is an arithmetic number, because the mean of its divisors is an integer number (86278920).

Almost surely, 22468893320 is an apocalyptic number.

2468893320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2468893320 is an abundant number, since it is smaller than the sum of its proper divisors (5813883000).

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

2468893320 is a wasteful number, since it uses less digits than its factorization.

2468893320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221275 (or 221268 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2468893320 is about 49687.9595073092. The cubic root of 2468893320 is about 1351.5561971916.

The spelling of 2468893320 in words is "two billion, four hundred sixty-eight million, eight hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 221227 442454 663681 884908 1106135 1327362 1769816 1991043 2212270 2654724 3318405 3982086 4424540 5309448 6636810 6858037 7964172 8849080 9955215 13273620 13716074 15928344 19910430 20574111 26547240 27432148 34290185 39820860 41148222 54864296 61722333 68580370 79641720 82296444 102870555 123444666 137160740 164592888 205741110 246889332 274321480 308611665 411482220 493778664 617223330 822964440 1234446660 2468893320