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225035352141200 = 24525310614875101
BaseRepresentation
bin110011001010101100100000…
…001110011110110110010000
31002111210011120121111112111022
4303022230200032132312100
5213443434400122004300
62114335451423135012
765254160544340616
oct6312544016366620
91074704517445438
10225035352141200
1165780a58695867
12212a5438144468
1398749867b3503
143d7daaa7db6b6
151b03a45085285
hexccab2039ed90

225035352141200 has 60 divisors (see below), whose sum is σ = 550848328543188. Its totient is φ = 88315760832000.

The previous prime is 225035352141191. The next prime is 225035352141221. The reversal of 225035352141200 is 2141253530522.

It can be written as a sum of positive squares in 6 ways, for example, as 3238430590096 + 221796921551104 = 1799564^2 + 14892848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5307416351 + ... + 5307458750.

Almost surely, 2225035352141200 is an apocalyptic number.

225035352141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225035352141200 is an abundant number, since it is smaller than the sum of its proper divisors (325812976401988).

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

225035352141200 is a wasteful number, since it uses less digits than its factorization.

225035352141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10614875172 (or 10614875161 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 225035352141200 in words is "two hundred twenty-five trillion, thirty-five billion, three hundred fifty-two million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 10614875101 21229750202 42459500404 53074375505 84919000808 106148751010 169838001616 212297502020 265371877525 424595004040 530743755050 562588380353 849190008080 1061487510100 1125176760706 2122975020200 2250353521412 2812941901765 4245950040400 4500707042824 5625883803530 9001414085648 11251767607060 14064709508825 22503535214120 28129419017650 45007070428240 56258838035300 112517676070600 225035352141200