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230420054252024 = 23721372136268663
BaseRepresentation
bin110100011001000011011001…
…011110111001100111111000
31010012211221102202111202002022
4310121003121132321213320
5220200200232342031044
62134021302301054012
766351204514156100
oct6431033136714770
91105757382452068
10230420054252024
11674676616500aa
1221a14b49b57308
139b75696a2a980
1440c856673c200
151b98b4b1473ee
hexd190d97b99f8

230420054252024 has 96 divisors (see below), whose sum is σ = 541309040889120. Its totient is φ = 91142534133504.

The previous prime is 230420054251997. The next prime is 230420054252041. The reversal of 230420054252024 is 420252450024032.

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, 33623117 + ... + 39891779.

It is an arithmetic number, because the mean of its divisors is an integer number (5638635842595).

Almost surely, 2230420054252024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230420054252024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270654520444560).

230420054252024 is an abundant number, since it is smaller than the sum of its proper divisors (310888986637096).

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

230420054252024 is a wasteful number, since it uses less digits than its factorization.

230420054252024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6275909 (or 6275898 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The spelling of 230420054252024 in words is "two hundred thirty trillion, four hundred twenty billion, fifty-four million, two hundred fifty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 7213 14426 28852 50491 57704 93769 100982 187538 201964 353437 375076 403928 656383 706874 750152 1312766 1413748 2625532 2827496 4594681 5251064 6268663 9189362 12537326 18378724 25074652 36757448 43880641 50149304 81492619 87761282 162985238 175522564 307164487 325970476 351045128 570448333 614328974 651940952 1140896666 1228657948 2281793332 2457315896 3993138331 4563586664 7986276662 15972553324 31945106648 45215866219 90431732438 180863464876 316511063533 361726929752 587806260847 633022127066 1175612521694 1266044254132 2215577444731 2351225043388 2532088508264 4114643825929 4431154889462 4702450086776 8229287651858 8862309778924 16458575303716 17724619557848 28802506781503 32917150607432 57605013563006 115210027126012 230420054252024