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2253452301540 = 22325112103464293
BaseRepresentation
bin100000110010101100001…
…110010101010011100100
321222102112222001210111100
4200302230032111103210
5243410032242122130
64443115515240100
7321543435343626
oct40625416252344
97872488053440
102253452301540
11799758093300
12304898749030
1313466592bc2b
147b0d39a4c16
153d93de30c60
hex20cac3954e4

2253452301540 has 108 divisors (see below), whose sum is σ = 7513370101692. Its totient is φ = 546291461760.

The previous prime is 2253452301523. The next prime is 2253452301559. The reversal of 2253452301540 is 451032543522.

2253452301540 is a `hidden beast` number, since 2 + 2 + 5 + 34 + 52 + 30 + 1 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 227134215396 + 2026318086144 = 476586^2 + 1423488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2253452301495 and 2253452301504.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51710367 + ... + 51753926.

Almost surely, 22253452301540 is an apocalyptic number.

2253452301540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253452301540 is an abundant number, since it is smaller than the sum of its proper divisors (5259917800152).

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

2253452301540 is a wasteful number, since it uses less digits than its factorization.

2253452301540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103464330 (or 103464314 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2253452301540 in words is "two trillion, two hundred fifty-three billion, four hundred fifty-two million, three hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 103464293 206928586 310392879 413857172 517321465 620785758 931178637 1034642930 1138107223 1241571516 1551964395 1862357274 2069285860 2276214446 3103928790 3414321669 3724714548 4552428892 4655893185 5690536115 6207857580 6828643338 9311786370 10242965007 11381072230 12519179453 13657286676 17071608345 18623572740 20485930014 22762144460 25038358906 34143216690 37557538359 40971860028 50076717812 51214825035 62595897265 68286433380 75115076718 102429650070 112672615077 125191794530 150230153436 187787691795 204859300140 225345230154 250383589060 375575383590 450690460308 563363075385 751150767180 1126726150770 2253452301540