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2239706799225 = 34527247512
BaseRepresentation
bin100000100101111000111…
…011011001110001111001
321221010002000110221010000
4200211320323121301321
5243143404420033400
64432523533343213
7320546010452100
oct40457073316171
97833060427100
102239706799225
1179394410aa35
123020a1337b09
13133284c789cc
147a58c219037
153d3d731e600
hex20978ed9c79

2239706799225 has 135 divisors (see below), whose sum is σ = 4827067828671. Its totient is φ = 1023650460000.

The previous prime is 2239706799203. The next prime is 2239706799227. The reversal of 2239706799225 is 5229976079322.

The square root of 2239706799225 is 1496565.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 806294447721 + 1433412351504 = 897939^2 + 1197252^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 2239706799225 - 25 = 2239706799193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2239706799227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 471415600 + ... + 471420350.

Almost surely, 22239706799225 is an apocalyptic number.

2239706799225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2239706799225 is the 1496565-th square number.

2239706799225 is the 748283-rd centered octagonal number.

It is an amenable number.

2239706799225 is an abundant number, since it is smaller than the sum of its proper divisors (2587361029446).

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

2239706799225 is an frugal number, since it uses more digits than its factorization.

2239706799225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9538 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 2239706799225 in words is "two trillion, two hundred thirty-nine billion, seven hundred six million, seven hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3675 3969 4725 4751 6615 11025 14175 14253 19845 23755 33075 33257 42759 71265 99225 99771 118775 128277 166285 213795 232799 299313 356325 384831 498855 641385 698397 831425 897939 1068975 1163995 1496565 1924155 2095191 2494275 2693817 3206925 3491985 4489695 5819975 6285573 7482825 9620775 10475955 13469085 17459925 18856719 22448475 22572001 31427865 52379775 67345425 67716003 94283595 112860005 157139325 158004007 203148009 338580015 471417975 474012021 564300025 609444027 790020035 1015740045 1106028049 1422036063 1692900075 1828332081 2370060105 3047220135 3318084147 3950100175 4266108189 5078700225 5530140245 7110180315 9141660405 9954252441 11850300525 12798324567 15236100675 16590420735 21330540945 27650701225 29862757323 35550901575 45708302025 49771262205 63991622835 82952103675 89588271969 106652704725 149313786615 248856311025 319958114175 447941359845 746568933075 2239706799225