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230212212210320 = 24523373381495479
BaseRepresentation
bin110100010110000001110101…
…001000011011101010010000
31010012010001221220001001201212
4310112001311020123222100
5220133244102311212240
62133342010312515252
766330166141025534
oct6426016510335220
91105101856031655
10230212212210320
11673974a61999aa
12219a08040abb28
139b5bbc2b22a42
1440bc48ad4dbc4
151b935344ca165
hexd1607521ba90

230212212210320 has 80 divisors (see below), whose sum is σ = 573609841263360. Its totient is φ = 85700621394432.

The previous prime is 230212212210301. The next prime is 230212212210361. The reversal of 230212212210320 is 23012212212032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690679660 + ... + 1690815819.

It is an arithmetic number, because the mean of its divisors is an integer number (7170123015792).

Almost surely, 2230212212210320 is an apocalyptic number.

230212212210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230212212210320 is an abundant number, since it is smaller than the sum of its proper divisors (343397629053040).

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

230212212210320 is a wasteful number, since it uses less digits than its factorization.

230212212210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381495552 (or 3381495546 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 230212212210320 its reverse (23012212212032), we get a palindrome (253224424422352).

The spelling of 230212212210320 in words is "two hundred thirty trillion, two hundred twelve billion, two hundred twelve million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 80 92 115 148 184 185 230 296 368 370 460 592 740 851 920 1480 1702 1840 2960 3404 4255 6808 8510 13616 17020 34040 68080 3381495479 6762990958 13525981916 16907477395 27051963832 33814954790 54103927664 67629909580 77774396017 125115332723 135259819160 155548792034 250230665446 270519638320 311097584068 388871980085 500461330892 622195168136 625576663615 777743960170 1000922661784 1244390336272 1251153327230 1555487920340 2001845323568 2502306654460 2877652652629 3110975840680 5004613308920 5755305305258 6221951681360 10009226617840 11510610610516 14388263263145 23021221221032 28776526526290 46042442442064 57553053052580 115106106105160 230212212210320