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2253145464 = 233310431229
BaseRepresentation
bin1000011001001100…
…0100010101111000
312211000200122112000
42012103010111320
514103301123324
61011324421000
7106556264133
oct20623042570
95730618460
102253145464
11a56929599
1252a6a7760
1329ba4b68b
1417535321a
15d2c189c9
hex864c4578

2253145464 has 32 divisors (see below), whose sum is σ = 6258738000. Its totient is φ = 751048416.

The previous prime is 2253145397. The next prime is 2253145469. The reversal of 2253145464 is 4645413522.

2253145464 is a `hidden beast` number, since 2 + 2 + 53 + 145 + 464 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253145469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5215399 + ... + 5215830.

Almost surely, 22253145464 is an apocalyptic number.

2253145464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2253145464 is an abundant number, since it is smaller than the sum of its proper divisors (4005592536).

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

2253145464 is a wasteful number, since it uses less digits than its factorization.

2253145464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10431244 (or 10431234 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2253145464 is about 47467.3094244871. The cubic root of 2253145464 is about 1310.9810385331.

Adding to 2253145464 its reverse (4645413522), we get a palindrome (6898558986).

The spelling of 2253145464 in words is "two billion, two hundred fifty-three million, one hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 10431229 20862458 31293687 41724916 62587374 83449832 93881061 125174748 187762122 250349496 281643183 375524244 563286366 751048488 1126572732 2253145464