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2261456030460 = 2235112311495321
BaseRepresentation
bin100000111010001001010…
…010001000101011111100
322000012012202111100111210
4200322021102020223330
5244022430220433320
64450522031044420
7322245663044364
oct40721122105374
98005182440453
102261456030460
117a2094a78300
12306351070710
1313533cb793c3
147b65295d9a4
153dc5b9160e0
hex20e89488afc

2261456030460 has 72 divisors (see below), whose sum is σ = 6960051474768. Its totient is φ = 548231763200.

The previous prime is 2261456030429. The next prime is 2261456030501. The reversal of 2261456030460 is 640306541622.

It is a super-2 number, since 2×22614560304602 (a number of 26 digits) contains 22 as substring.

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, 155740401 + ... + 155754920.

It is an arithmetic number, because the mean of its divisors is an integer number (96667381594).

Almost surely, 22261456030460 is an apocalyptic number.

2261456030460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261456030460 is an abundant number, since it is smaller than the sum of its proper divisors (4698595444308).

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

2261456030460 is a wasteful number, since it uses less digits than its factorization.

2261456030460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311495355 (or 311495342 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 2261456030460 in words is "two trillion, two hundred sixty-one billion, four hundred fifty-six million, thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 311495321 622990642 934485963 1245981284 1557476605 1868971926 3114953210 3426448531 3737943852 4672429815 6229906420 6852897062 9344859630 10279345593 13705794124 17132242655 18689719260 20558691186 34264485310 37690933841 41117382372 51396727965 68528970620 75381867682 102793455930 113072801523 150763735364 188454669205 205586911860 226145603046 376909338410 452291206092 565364007615 753818676820 1130728015230 2261456030460