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230233012202220 = 2235102731107133739
BaseRepresentation
bin110100010110010101001100…
…111010000110101011101100
31010012012001122110220010120020
4310112111030322012223230
5220134114202110432340
62133355330300522140
766331533446033406
oct6426251472065354
91105161573803506
10230233012202220
11673a52aa253755
12219a4849b50350
139b60b59179961
1440bd4a159bb76
151b93d505ba9d0
hexd1654ce86aec

230233012202220 has 96 divisors (see below), whose sum is σ = 644792531496960. Its totient is φ = 61382129080320.

The previous prime is 230233012202201. The next prime is 230233012202243. The reversal of 230233012202220 is 22202210332032.

230233012202220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6823926111 + ... + 6823959849.

It is an arithmetic number, because the mean of its divisors is an integer number (6716588869760).

Almost surely, 2230233012202220 is an apocalyptic number.

230233012202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233012202220 is an abundant number, since it is smaller than the sum of its proper divisors (414559519294740).

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

230233012202220 is a wasteful number, since it uses less digits than its factorization.

230233012202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55095 (or 55093 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230233012202220 its reverse (22202210332032), we get a palindrome (252435222534252).

The spelling of 230233012202220 in words is "two hundred thirty trillion, two hundred thirty-three billion, twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 10273 11071 20546 22142 30819 33213 33739 41092 44284 51365 55355 61638 66426 67478 101217 102730 110710 123276 132852 134956 154095 166065 168695 202434 205460 221420 308190 332130 337390 404868 506085 616380 664260 674780 1012170 2024340 113732383 227464766 341197149 346600747 373524469 454929532 568661915 682394298 693201494 747048938 1039802241 1120573407 1137323830 1364788596 1386402988 1494097876 1705985745 1733003735 1867622345 2079604482 2241146814 2274647660 3411971490 3466007470 3735244690 4159208964 4482293628 5199011205 5602867035 6823942980 6932014940 7470489380 10398022410 11205734070 20796044820 22411468140 3837216870037 7674433740074 11511650610111 15348867480148 19186084350185 23023301220222 38372168700370 46046602440444 57558253050555 76744337400740 115116506101110 230233012202220