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231225513200 = 24521170197487
BaseRepresentation
bin1101011101011000011…
…1010101010011110000
3211002211111121002221022
43113112013111103300
512242022212410300
6254120141115012
722463661301433
oct3272607252360
9732744532838
10231225513200
118a075857460
1238990b58a68
1318a5c56c3c6
14b2971bb81a
156034978285
hex35d61d54f0

231225513200 has 120 divisors (see below), whose sum is σ = 606188344320. Its totient is φ = 84058796800.

The previous prime is 231225513187. The next prime is 231225513257. The reversal of 231225513200 is 2315522132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 231225513200.

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, 30879857 + ... + 30887343.

It is an arithmetic number, because the mean of its divisors is an integer number (5051569536).

Almost surely, 2231225513200 is an apocalyptic number.

231225513200 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 231225513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303094172160).

231225513200 is an abundant number, since it is smaller than the sum of its proper divisors (374962831120).

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

231225513200 is a wasteful number, since it uses less digits than its factorization.

231225513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14535 (or 14524 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 231225513200 in words is "two hundred thirty-one billion, two hundred twenty-five million, five hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 7019 7487 14038 14974 28076 29948 35095 37435 56152 59896 70190 74870 77209 82357 112304 119792 140380 149740 154418 164714 175475 187175 280760 299480 308836 329428 350950 374350 386045 411785 561520 598960 617672 658856 701900 748700 772090 823570 1235344 1317712 1403800 1497400 1544180 1647140 1930225 2058925 2807600 2994800 3088360 3294280 3860450 4117850 6176720 6588560 7720900 8235700 15441800 16471400 30883600 32942800 52551253 105102506 210205012 262756265 420410024 525512530 578063783 840820048 1051025060 1156127566 1313781325 2102050120 2312255132 2627562650 2890318915 4204100240 4624510264 5255125300 5780637830 9249020528 10510250600 11561275660 14451594575 21020501200 23122551320 28903189150 46245102640 57806378300 115612756600 231225513200