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231120222000 = 2435338520037
BaseRepresentation
bin1101011100111111010…
…1101011011100110000
3211002120011110202120020
43113033311223130300
512241313234101000
6254101500243440
722461242321133
oct3271765533460
9732504422506
10231120222000
118a021381638
1238961840580
1318a437c5415
14b28721021a
15602a5caba0
hex35cfd6b730

231120222000 has 80 divisors (see below), whose sum is σ = 745131615072. Its totient is φ = 61632057600.

The previous prime is 231120221999. The next prime is 231120222007. The reversal of 231120222000 is 222021132.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (231120222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19254019 + ... + 19266018.

Almost surely, 2231120222000 is an apocalyptic number.

231120222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231120222000 is an abundant number, since it is smaller than the sum of its proper divisors (514011393072).

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

231120222000 is a wasteful number, since it uses less digits than its factorization.

231120222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38520063 (or 38520047 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 231120222000 its reverse (222021132), we get a palindrome (231342243132).

The spelling of 231120222000 in words is "two hundred thirty-one billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 38520037 77040074 115560111 154080148 192600185 231120222 308160296 385200370 462240444 577800555 616320592 770400740 924480888 963000925 1155601110 1540801480 1848961776 1926001850 2311202220 2889002775 3081602960 3852003700 4622404440 4815004625 5778005550 7704007400 9244808880 9630009250 11556011100 14445013875 15408014800 19260018500 23112022200 28890027750 38520037000 46224044400 57780055500 77040074000 115560111000 231120222000