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2235427344 = 2432101153701
BaseRepresentation
bin1000010100111101…
…1110101000010000
312202210100110211100
42011033132220100
514034232133334
61005452544400
7106252550613
oct20517365020
95683313740
102235427344
11a47927717
12524782100
13298186a97
14172c6017a
15d13b8c99
hex853dea10

2235427344 has 60 divisors (see below), whose sum is σ = 6318074412. Its totient is φ = 737760000.

The previous prime is 2235427343. The next prime is 2235427357. The reversal of 2235427344 is 4437245322.

2235427344 is a `hidden beast` number, since 2 + 2 + 3 + 542 + 73 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2053177344 + 182250000 = 45312^2 + 13500^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2235427299 and 2235427308.

It is not an unprimeable number, because it can be changed into a prime (2235427343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62307 + ... + 91394.

Almost surely, 22235427344 is an apocalyptic number.

2235427344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2235427344 is an abundant number, since it is smaller than the sum of its proper divisors (4082647068).

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

2235427344 is a wasteful number, since it uses less digits than its factorization.

2235427344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153816 (or 153807 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 2235427344 is about 47280.3060903797. The cubic root of 2235427344 is about 1307.5355925026.

The spelling of 2235427344 in words is "two billion, two hundred thirty-five million, four hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 153701 307402 461103 614804 922206 1229608 1383309 1844412 2459216 2766618 3688824 5533236 7377648 11066472 15523801 22132944 31047602 46571403 62095204 93142806 124190408 139714209 186285612 248380816 279428418 372571224 558856836 745142448 1117713672 2235427344