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226507331680 = 2557732770393
BaseRepresentation
bin1101001011110011100…
…0111001100001100000
3210122122200111122122121
43102330320321201200
512202341334103210
6252020034114024
722236030360250
oct3227470714140
9718580448577
10226507331680
1188074535893
1237a94a1b914
1318489c13b16
14ad6a719960
155d5a63d6da
hex34bce39860

226507331680 has 96 divisors (see below), whose sum is σ = 619947687744. Its totient is φ = 76595798016.

The previous prime is 226507331629. The next prime is 226507331683. The reversal of 226507331680 is 86133705622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226507331683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1303437 + ... + 1466956.

It is an arithmetic number, because the mean of its divisors is an integer number (6457788414).

Almost surely, 2226507331680 is an apocalyptic number.

226507331680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226507331680 is an abundant number, since it is smaller than the sum of its proper divisors (393440356064).

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

226507331680 is a wasteful number, since it uses less digits than its factorization.

226507331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770488 (or 2770480 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 226507331680 in words is "two hundred twenty-six billion, five hundred seven million, three hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 1022 1120 1168 1460 2044 2336 2555 2920 4088 5110 5840 8176 10220 11680 16352 20440 40880 81760 2770393 5540786 11081572 13851965 19392751 22163144 27703930 38785502 44326288 55407860 77571004 88652576 96963755 110815720 155142008 193927510 202238689 221631440 310284016 387855020 404477378 443262880 620568032 775710040 808954756 1011193445 1415670823 1551420080 1617909512 2022386890 2831341646 3102840160 3235819024 4044773780 5662683292 6471638048 7078354115 8089547560 11325366584 14156708230 16179095120 22650733168 28313416460 32358190240 45301466336 56626832920 113253665840 226507331680