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2242225413045 = 325149334410949
BaseRepresentation
bin100000101000001111000…
…011001001101110110101
321221100120112200202202100
4200220033003021232311
5243214034201204140
64434021504132313
7320665302354402
oct40501703115665
97840515622670
102242225413045
11794a16877862
12302684907099
131335969c4647
147a74a9132a9
153d4d34c5530
hex20a0f0c9bb5

2242225413045 has 24 divisors (see below), whose sum is σ = 3912608115000. Its totient is φ = 1187827687296.

The previous prime is 2242225412953. The next prime is 2242225413059. The reversal of 2242225413045 is 5403145222422.

2242225413045 is a `hidden beast` number, since 2 + 2 + 42 + 2 + 2 + 541 + 30 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28599206769 + 2213626206276 = 169113^2 + 1487826^2 .

It is not a de Polignac number, because 2242225413045 - 215 = 2242225380277 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167198770 + ... + 167212179.

It is an arithmetic number, because the mean of its divisors is an integer number (163025338125).

Almost surely, 22242225413045 is an apocalyptic number.

It is an amenable number.

2242225413045 is a deficient number, since it is larger than the sum of its proper divisors (1670382701955).

2242225413045 is a wasteful number, since it uses less digits than its factorization.

2242225413045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334411109 (or 334411106 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 2242225413045 in words is "two trillion, two hundred forty-two billion, two hundred twenty-five million, four hundred thirteen thousand, forty-five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 6705 334410949 1003232847 1672054745 3009698541 5016164235 15048492705 49827231401 149481694203 249136157005 448445082609 747408471015 2242225413045