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2281366152 = 23321324332
BaseRepresentation
bin1000011111111010…
…1110001010001000
312212222210102000200
42013332232022020
514133012204102
61014213332200
7110351202162
oct20776561210
95788712020
102281366152
11a7085417a
12538037060
132a484c800
14178dbb932
15d544051c
hex87fae288

2281366152 has 108 divisors (see below), whose sum is σ = 6706032255. Its totient is φ = 700337664.

The previous prime is 2281366141. The next prime is 2281366169. The reversal of 2281366152 is 2516631822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2281366152 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 36 + 615 + 2 = 666.

2281366152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 5503716 + 2275862436 = 2346^2 + 47706^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33774.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5268528 + ... + 5268960.

Almost surely, 22281366152 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 2281366152

2281366152 is an abundant number, since it is smaller than the sum of its proper divisors (4424666103).

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

2281366152 is a wasteful number, since it uses less digits than its factorization.

2281366152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 451 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2281366152 is about 47763.6488555889. The cubic root of 2281366152 is about 1316.4316987392.

Adding to 2281366152 its reverse (2516631822), we get a palindrome (4797997974).

The spelling of 2281366152 in words is "two billion, two hundred eighty-one million, three hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 433 468 507 676 866 936 1014 1299 1352 1521 1732 2028 2598 3042 3464 3897 4056 5196 5629 6084 7794 10392 11258 12168 15588 16887 22516 31176 33774 45032 50661 67548 73177 101322 135096 146354 187489 202644 219531 292708 374978 405288 439062 562467 585416 658593 749956 878124 1124934 1317186 1499912 1687401 1756248 2249868 2437357 2634372 3374802 4499736 4874714 5268744 6749604 7312071 9749428 13499208 14624142 19498856 21936213 29248284 31685641 43872426 58496568 63371282 87744852 95056923 126742564 175489704 190113846 253485128 285170769 380227692 570341538 760455384 1140683076 2281366152