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2252442300 = 223527508141
BaseRepresentation
bin1000011001000001…
…1000101010111100
312210222100220221220
42012100120222330
514103111123200
61011301353340
7106550305113
oct20620305274
95728326856
102252442300
11a56499269
1252a408850
1329b8635c4
1417520cc7a
15d2b2a4a0
hex86418abc

2252442300 has 36 divisors (see below), whose sum is σ = 6517067256. Its totient is φ = 600651200.

The previous prime is 2252442293. The next prime is 2252442307. The reversal of 2252442300 is 32442522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2252442293) and next prime (2252442307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252442307) 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 11 ways as a sum of consecutive naturals, for example, 3753771 + ... + 3754370.

It is an arithmetic number, because the mean of its divisors is an integer number (181029646).

Almost surely, 22252442300 is an apocalyptic number.

2252442300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252442300 is an abundant number, since it is smaller than the sum of its proper divisors (4264624956).

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

2252442300 is a wasteful number, since it uses less digits than its factorization.

2252442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508158 (or 7508151 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2252442300 is about 47459.9020226549. The cubic root of 2252442300 is about 1310.8446468978.

Adding to 2252442300 its reverse (32442522), we get a palindrome (2284884822).

The spelling of 2252442300 in words is "two billion, two hundred fifty-two million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7508141 15016282 22524423 30032564 37540705 45048846 75081410 90097692 112622115 150162820 187703525 225244230 375407050 450488460 563110575 750814100 1126221150 2252442300