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225204125100 = 2235223195116729
BaseRepresentation
bin1101000110111100110…
…1100011110110101100
3210112021212021220022020
43101233031203312230
512142204224000400
6251242441550140
722161524323203
oct3215715436654
9715255256266
10225204125100
1187565948459
12377904a5350
131830cc25476
14ac8560223a
155cd10182a0
hex346f363dac

225204125100 has 144 divisors (see below), whose sum is σ = 680309790720. Its totient is φ = 57410496000.

The previous prime is 225204125089. The next prime is 225204125173. The reversal of 225204125100 is 1521402522.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13453536 + ... + 13470264.

Almost surely, 2225204125100 is an apocalyptic number.

225204125100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225204125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340154895360).

225204125100 is an abundant number, since it is smaller than the sum of its proper divisors (455105665620).

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

225204125100 is a wasteful number, since it uses less digits than its factorization.

225204125100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18720 (or 18713 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 225204125100 its reverse (1521402522), we get a palindrome (226725527622).

The spelling of 225204125100 in words is "two hundred twenty-five billion, two hundred four million, one hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 1951 2300 3450 3902 5853 6900 7804 9755 11706 16729 19510 23412 29265 33458 39020 44873 48775 50187 58530 66916 83645 89746 97550 100374 117060 134619 146325 167290 179492 195100 200748 224365 250935 269238 292650 334580 384767 418225 448730 501870 538476 585300 673095 769534 836450 897460 1003740 1121825 1154301 1254675 1346190 1539068 1672900 1923835 2243650 2308602 2509350 2692380 3365475 3847670 4487300 4617204 5018700 5771505 6730950 7695340 9619175 11543010 13461900 19238350 23086020 28857525 32638279 38476700 57715050 65276558 97914837 115430100 130553116 163191395 195829674 326382790 391659348 489574185 652765580 750680417 815956975 979148370 1501360834 1631913950 1958296740 2252041251 2447870925 3002721668 3263827900 3753402085 4504082502 4895741850 7506804170 9008165004 9791483700 11260206255 15013608340 18767010425 22520412510 37534020850 45040825020 56301031275 75068041700 112602062550 225204125100