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2152324224 = 2734207593
BaseRepresentation
bin1000000001001001…
…1101110010000000
312112222222101210000
42000102131302000
513401443333344
6553323440000
7104223311511
oct20022356200
95488871700
102152324224
11a04a27056
12500986000
13283bab13b
14165bcaa08
15c8e50a69
hex8049dc80

2152324224 has 80 divisors (see below), whose sum is σ = 6405312870. Its totient is φ = 717437952.

The previous prime is 2152324177. The next prime is 2152324231. The reversal of 2152324224 is 4224232512.

2152324224 is a `hidden beast` number, since 2 + 1 + 5 + 232 + 422 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1461685824 + 690638400 = 38232^2 + 26280^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 93429 + ... + 114164.

Almost surely, 22152324224 is an apocalyptic number.

2152324224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2152324224 is an abundant number, since it is smaller than the sum of its proper divisors (4252988646).

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

2152324224 is an equidigital number, since it uses as much as digits as its factorization.

2152324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207619 (or 207598 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2152324224 is about 46393.1484596594. The cubic root of 2152324224 is about 1291.1277968497.

Adding to 2152324224 its reverse (4224232512), we get a palindrome (6376556736).

The spelling of 2152324224 in words is "two billion, one hundred fifty-two million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 207593 415186 622779 830372 1245558 1660744 1868337 2491116 3321488 3736674 4982232 5605011 6642976 7473348 9964464 11210022 13285952 14946696 16815033 19928928 22420044 26571904 29893392 33630066 39857856 44840088 59786784 67260132 79715712 89680176 119573568 134520264 179360352 239147136 269040528 358720704 538081056 717441408 1076162112 2152324224