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2253323620 = 225195322111
BaseRepresentation
bin1000011001001110…
…1111110101100100
312211001000200220101
42012103233311210
514103322323440
61011332313444
7106560635422
oct20623576544
95731020811
102253323620
11a56a40429
1252a772884
1329bab17b2
1417539c112
15d2c5169a
hex864efd64

2253323620 has 72 divisors (see below), whose sum is σ = 5079191040. Its totient is φ = 837383040.

The previous prime is 2253323603. The next prime is 2253323659. The reversal of 2253323620 is 263233522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066365 + ... + 1068475.

It is an arithmetic number, because the mean of its divisors is an integer number (70544320).

Almost surely, 22253323620 is an apocalyptic number.

2253323620 is a gapful number since it is divisible by the number (20) 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 2253323620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539595520).

2253323620 is an abundant number, since it is smaller than the sum of its proper divisors (2825867420).

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

2253323620 is a wasteful number, since it uses less digits than its factorization.

2253323620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 2253323620 is about 47469.1860052392. The cubic root of 2253323620 is about 1311.0155906716.

The spelling of 2253323620 in words is "two billion, two hundred fifty-three million, three hundred twenty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 2111 2809 4028 4222 5035 5618 8444 10070 10555 11236 14045 20140 21110 28090 40109 42220 53371 56180 80218 106742 111883 160436 200545 213484 223766 266855 401090 447532 533710 559415 802180 1067420 1118830 2125777 2237660 4251554 5929799 8503108 10628885 11859598 21257770 23719196 29648995 42515540 59297990 112666181 118595980 225332362 450664724 563330905 1126661810 2253323620