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2253522980 = 225235219403
BaseRepresentation
bin1000011001010010…
…0000100000100100
312211001101211101002
42012110200200210
514103400213410
61011340452432
7106562425562
oct20624404044
95731354332
102253522980
11a57067195
1252a84a118
1329bb51467
14175410a32
15d2c907a5
hex86520824

2253522980 has 48 divisors (see below), whose sum is σ = 4948159104. Its totient is φ = 860471040.

The previous prime is 2253522979. The next prime is 2253523033. The reversal of 2253522980 is 892253522.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234959 + ... + 244361.

It is an arithmetic number, because the mean of its divisors is an integer number (103086648).

Almost surely, 22253522980 is an apocalyptic number.

2253522980 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 2253522980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474079552).

2253522980 is an abundant number, since it is smaller than the sum of its proper divisors (2694636124).

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

2253522980 is a wasteful number, since it uses less digits than its factorization.

2253522980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 2253522980 is about 47471.2858473414. The cubic root of 2253522980 is about 1311.0542530218.

The spelling of 2253522980 in words is "two billion, two hundred fifty-three million, five hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 521 1042 2084 2605 5210 9403 10420 11983 18806 23966 37612 47015 47932 59915 94030 119830 188060 216269 239660 432538 865076 1081345 2162690 4325380 4898963 9797926 19595852 24494815 48989630 97979260 112676149 225352298 450704596 563380745 1126761490 2253522980