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2242000415142 = 232736017433821
BaseRepresentation
bin100000101000000001101…
…000110110100110100110
321221022222212022200122200
4200220001220312212212
5243213104101241032
64433543305435330
7320656601044005
oct40500150664646
97838885280580
102242000415142
11794910870584
1230262149bb46
1313355c1c70a7
147a728aa4c3c
153d4bd87e47c
hex20a01a369a6

2242000415142 has 96 divisors (see below), whose sum is σ = 4940335423296. Its totient is φ = 734686848000.

The previous prime is 2242000415117. The next prime is 2242000415143. The reversal of 2242000415142 is 2415140002422.

It is a happy number.

2242000415142 is a `hidden beast` number, since 2 + 2 + 4 + 200 + 0 + 415 + 1 + 42 = 666.

It is a super-2 number, since 2×22420004151422 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242000415143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586755592 + ... + 586759412.

It is an arithmetic number, because the mean of its divisors is an integer number (51461827326).

Almost surely, 22242000415142 is an apocalyptic number.

2242000415142 is an abundant number, since it is smaller than the sum of its proper divisors (2698335008154).

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

2242000415142 is a wasteful number, since it uses less digits than its factorization.

2242000415142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 2242000415142 its reverse (2415140002422), we get a palindrome (4657140417564).

The spelling of 2242000415142 in words is "two trillion, two hundred forty-two billion, four hundred fifteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 601 657 743 1202 1314 1486 1803 2229 3606 3821 4458 5409 6687 7642 10818 11463 13374 22926 34389 43873 54239 68778 87746 108478 131619 162717 263238 278933 325434 394857 446543 488151 557866 789714 836799 893086 976302 1339629 1673598 2296421 2510397 2679258 2839003 4018887 4592842 5020794 5678006 6889263 8037774 8517009 13778526 17034018 20667789 25551027 32597639 41335578 51102054 65195278 97792917 167638733 195585834 207247219 293378751 335277466 414494438 502916199 586757502 621741657 1005832398 1243483314 1508748597 1706240803 1865224971 3017497194 3412481606 3730449942 5118722409 10237444818 15356167227 30712334454 124555578619 249111157238 373666735857 747333471714 1121000207571 2242000415142