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230213002200 = 233521920194123
BaseRepresentation
bin1101011001100111000…
…0111010001111011000
3211000012221101012221220
43112121300322033120
512232434012032300
6253431451332040
722426615142346
oct3263160721730
9730187335856
10230213002200
11896a6268a05
1238749a51020
131892a87177c
14b1dc934996
155ec5b24da0
hex3599c3a3d8

230213002200 has 96 divisors (see below), whose sum is σ = 751221412800. Its totient is φ = 58159071360.

The previous prime is 230213002189. The next prime is 230213002213. The reversal of 230213002200 is 2200312032.

It is a super-3 number, since 3×2302130022003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230213002200.

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, 10085662 + ... + 10108461.

It is an arithmetic number, because the mean of its divisors is an integer number (7825223050).

Almost surely, 2230213002200 is an apocalyptic number.

230213002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230213002200 is an abundant number, since it is smaller than the sum of its proper divisors (521008410600).

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

230213002200 is a wasteful number, since it uses less digits than its factorization.

230213002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20194161 (or 20194152 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230213002200 its reverse (2200312032), we get a palindrome (232413314232).

The spelling of 230213002200 in words is "two hundred thirty billion, two hundred thirteen million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 20194123 40388246 60582369 80776492 100970615 121164738 161552984 201941230 242329476 302911845 383688337 403882460 484658952 504853075 605823690 767376674 807764920 1009706150 1151065011 1211647380 1514559225 1534753348 1918441685 2019412300 2302130022 2423294760 3029118450 3069506696 3836883370 4038824600 4604260044 5755325055 6058236900 7673766740 9208520088 9592208425 11510650110 12116473800 15347533480 19184416850 23021300220 28776625275 38368833700 46042600440 57553250550 76737667400 115106501100 230213002200