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2281481496 = 233276174209
BaseRepresentation
bin1000011111111100…
…1010010100011000
312220000000021020200
42013333022110120
514133024401441
61014220022200
7110352162360
oct20777122430
95800007220
102281481496
11a709228a8
12538091960
132a4890168
1417900b9a0
15d54647b6
hex87fca518

2281481496 has 96 divisors (see below), whose sum is σ = 7177591200. Its totient is φ = 641157120.

The previous prime is 2281481491. The next prime is 2281481539. The reversal of 2281481496 is 6941841822.

2281481496 is a `hidden beast` number, since 2 + 2 + 81 + 4 + 81 + 496 = 666.

2281481496 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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281481491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6361 + ... + 67848.

It is an arithmetic number, because the mean of its divisors is an integer number (74766575).

Almost surely, 22281481496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281481496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588795600).

2281481496 is an abundant number, since it is smaller than the sum of its proper divisors (4896109704).

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

2281481496 is a wasteful number, since it uses less digits than its factorization.

2281481496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74289 (or 74282 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2281481496 is about 47764.8562857673. The cubic root of 2281481496 is about 1316.4538842674.

The spelling of 2281481496 in words is "two billion, two hundred eighty-one million, four hundred eighty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 732 854 1098 1281 1464 1708 2196 2562 3416 3843 4392 5124 7686 10248 15372 30744 74209 148418 222627 296836 445254 519463 593672 667881 890508 1038926 1335762 1558389 1781016 2077852 2671524 3116778 4155704 4526749 4675167 5343048 6233556 9053498 9350334 12467112 13580247 18106996 18700668 27160494 31687243 36213992 37401336 40740741 54320988 63374486 81481482 95061729 108641976 126748972 162962964 190123458 253497944 285185187 325925928 380246916 570370374 760493832 1140740748 2281481496