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2253229704 = 2333112953617
BaseRepresentation
bin1000011001001101…
…1000111010001000
312211000211221002000
42012103120322020
514103311322304
61011330311000
7106560064545
oct20623307210
95730757060
102253229704
11a56986910
1252a728460
1329ba7ab1b
14175375bcc
15d2c33939
hex864d8e88

2253229704 has 256 divisors, whose sum is σ = 7208352000. Its totient is φ = 645765120.

The previous prime is 2253229669. The next prime is 2253229709. The reversal of 2253229704 is 4079223522.

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

It is not an unprimeable number, because it can be changed into a prime (2253229709) 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 63 ways as a sum of consecutive naturals, for example, 3651604 + ... + 3652220.

It is an arithmetic number, because the mean of its divisors is an integer number (28157625).

Almost surely, 22253229704 is an apocalyptic number.

2253229704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253229704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604176000).

2253229704 is an abundant number, since it is smaller than the sum of its proper divisors (4955122296).

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

2253229704 is a wasteful number, since it uses less digits than its factorization.

2253229704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2253229704 is about 47468.1967637280. The cubic root of 2253229704 is about 1310.9973765323.

The spelling of 2253229704 in words is "two billion, two hundred fifty-three million, two hundred twenty-nine thousand, seven hundred four".