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225691211250 = 2345414932
BaseRepresentation
bin1101001000110000111…
…1101001010111110010
3210120112210211102220000
43102030033221113302
512144203422230000
6251403041530430
722206560433351
oct3221417512762
9716483742800
10225691211250
118779589449a
12378a7643a16
1318389b0861b
14acd0195998
155d0db80000
hex348c3e95f2

225691211250 has 150 divisors (see below), whose sum is σ = 632365632129. Its totient is φ = 60144012000.

The previous prime is 225691211237. The next prime is 225691211311. The reversal of 225691211250 is 52112196522.

225691211250 is a `hidden beast` number, since 22 + 569 + 1 + 21 + 1 + 2 + 50 = 666.

225691211250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4225910049 + 221465301201 = 65007^2 + 470601^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335925.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 151165504 + ... + 151166996.

Almost surely, 2225691211250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225691211250

225691211250 is an abundant number, since it is smaller than the sum of its proper divisors (406674420879).

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

225691211250 is an frugal number, since it uses more digits than its factorization.

225691211250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 225691211250 in words is "two hundred twenty-five billion, six hundred ninety-one million, two hundred eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 250 270 375 405 450 625 675 750 810 1125 1250 1350 1493 1875 2025 2250 2986 3375 3750 4050 4479 5625 6750 7465 8958 10125 11250 13437 14930 16875 20250 22395 26874 33750 37325 40311 44790 50625 67185 74650 80622 101250 111975 120933 134370 186625 201555 223950 241866 335925 373250 403110 559875 604665 671850 933125 1007775 1119750 1209330 1679625 1866250 2015550 2229049 2799375 3023325 3359250 4458098 5038875 5598750 6046650 6687147 8398125 10077750 11145245 13374294 15116625 16796250 20061441 22290490 25194375 30233250 33435735 40122882 50388750 55726225 60184323 66871470 75583125 100307205 111452450 120368646 151166250 167178675 180552969 200614410 278631125 300921615 334357350 361105938 501536025 557262250 601843230 835893375 902764845 1003072050 1393155625 1504608075 1671786750 1805529690 2507680125 2786311250 3009216150 4179466875 4513824225 5015360250 7523040375 8358933750 9027648450 12538400625 15046080750 22569121125 25076801250 37615201875 45138242250 75230403750 112845605625 225691211250