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224838260140 = 225131601540139
BaseRepresentation
bin1101000101100101100…
…1111001010110101100
3210111100100212000221011
43101121121321112230
512140432043311030
6251142252115004
722146462451414
oct3213131712654
9714310760834
10224838260140
118739837771a
12376a9a65a64
13182821a6020
14ac4cba5644
155cadd48b2a
hex34596795ac

224838260140 has 48 divisors (see below), whose sum is σ = 508798916640. Its totient is φ = 82965196800.

The previous prime is 224838260111. The next prime is 224838260201. The reversal of 224838260140 is 41062838422.

It is a junction number, because it is equal to n+sod(n) for n = 224838260093 and 224838260102.

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, 146191 + ... + 686329.

It is an arithmetic number, because the mean of its divisors is an integer number (10599977430).

Almost surely, 2224838260140 is an apocalyptic number.

224838260140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224838260140 is an abundant number, since it is smaller than the sum of its proper divisors (283960656500).

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

224838260140 is a wasteful number, since it uses less digits than its factorization.

224838260140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541762 (or 541760 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 224838260140 in words is "two hundred twenty-four billion, eight hundred thirty-eight million, two hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1601 3202 6404 8005 16010 20813 32020 41626 83252 104065 208130 416260 540139 1080278 2160556 2700695 5401390 7021807 10802780 14043614 28087228 35109035 70218070 140436140 864762539 1729525078 3459050156 4323812695 8647625390 11241913007 17295250780 22483826014 44967652028 56209565035 112419130070 224838260140