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2252303640 = 2332546713397
BaseRepresentation
bin1000011000111111…
…0110110100011000
312210222002212202100
42012033312310120
514103042204030
61011254403400
7106546156626
oct20617666430
95728085670
102252303640
11a56404074
1252a360560
1329b815462
141751b4516
15d2aee360
hex863f6d18

2252303640 has 96 divisors (see below), whose sum is σ = 7336208880. Its totient is φ = 599283456.

The previous prime is 2252303629. The next prime is 2252303653. The reversal of 2252303640 is 463032522.

2252303640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161422 + ... + 174818.

Almost surely, 22252303640 is an apocalyptic number.

2252303640 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 2252303640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668104440).

2252303640 is an abundant number, since it is smaller than the sum of its proper divisors (5083905240).

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

2252303640 is a wasteful number, since it uses less digits than its factorization.

2252303640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13881 (or 13874 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2252303640 is about 47458.4411880542. The cubic root of 2252303640 is about 1310.8177478812.

The spelling of 2252303640 in words is "two billion, two hundred fifty-two million, three hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 467 934 1401 1868 2335 2802 3736 4203 4670 5604 7005 8406 9340 11208 13397 14010 16812 18680 21015 26794 28020 33624 40191 42030 53588 56040 66985 80382 84060 107176 120573 133970 160764 168120 200955 241146 267940 321528 401910 482292 535880 602865 803820 964584 1205730 1607640 2411460 4822920 6256399 12512798 18769197 25025596 31281995 37538394 50051192 56307591 62563990 75076788 93845985 112615182 125127980 150153576 187691970 225230364 250255960 281537955 375383940 450460728 563075910 750767880 1126151820 2252303640