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225333333520 = 2458333935743
BaseRepresentation
bin1101000111011011101…
…0011100111000010000
3210112121212102100221021
43101312322130320100
512142440313133040
6251303335205224
722164653506141
oct3216672347020
9715555370837
10225333333520
1187621879679
1237807816814
1318330924859
14ac98837ac8
155cdc53c24a
hex3476e9ce10

225333333520 has 40 divisors (see below), whose sum is σ = 530212064256. Its totient is φ = 89047387008.

The previous prime is 225333333493. The next prime is 225333333553. The reversal of 225333333520 is 25333333522.

225333333520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2253333335202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16961232 + ... + 16974511.

Almost surely, 2225333333520 is an apocalyptic number.

225333333520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225333333520 is an abundant number, since it is smaller than the sum of its proper divisors (304878730736).

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

225333333520 is a wasteful number, since it uses less digits than its factorization.

225333333520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33935839 (or 33935833 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 34.

The spelling of 225333333520 in words is "two hundred twenty-five billion, three hundred thirty-three million, three hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 33935743 67871486 135742972 169678715 271485944 339357430 542971888 678714860 1357429720 2714859440 2816666669 5633333338 11266666676 14083333345 22533333352 28166666690 45066666704 56333333380 112666666760 225333333520