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2231728321320 = 233257384921169
BaseRepresentation
bin100000011110011101010…
…111111011001100101000
321220100110222120020222100
4200132131113323030220
5243031034422240240
64425124123053400
7320144210510421
oct40363527731450
97810428506870
102231728321320
1179051a502443
12300635371260
131325b302ca74
147a032754648
153d0bbb75e30
hex2079d5fb328

2231728321320 has 96 divisors (see below), whose sum is σ = 7352474898600. Its totient is φ = 586975113216.

The previous prime is 2231728321297. The next prime is 2231728321337. The reversal of 2231728321320 is 231238271322.

2231728321320 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 7 + 2 + 8 + 321 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2102262206724 + 129466114596 = 1449918^2 + 359814^2 .

It is a super-3 number, since 3×22317283213203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42434305 + ... + 42486864.

Almost surely, 22231728321320 is an apocalyptic number.

2231728321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231728321320 is an abundant number, since it is smaller than the sum of its proper divisors (5120746577280).

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

2231728321320 is a wasteful number, since it uses less digits than its factorization.

2231728321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84921259 (or 84921252 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2231728321320 in words is "two trillion, two hundred thirty-one billion, seven hundred twenty-eight million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 84921169 169842338 254763507 339684676 424605845 509527014 679369352 764290521 849211690 1019054028 1273817535 1528581042 1698423380 2038108056 2547635070 3057162084 3396846760 3821452605 5095270140 6114324168 6199245337 7642905210 10190540280 12398490674 15285810420 18597736011 24796981348 30571620840 30996226685 37195472022 49593962696 55793208033 61992453370 74390944044 92988680055 111586416066 123984906740 148781888088 185977360110 223172832132 247969813480 278966040165 371954720220 446345664264 557932080330 743909440440 1115864160660 2231728321320