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2226326599744 = 26132143472
BaseRepresentation
bin100000011001011011011…
…001111111100001000000
321212211112112021101000021
4200121123121333201000
5242434004102142434
64422432121303224
7316563306601132
oct40313331774100
97784475241007
102226326599744
117891a8364035
122bb588334b14
13131c31ba9100
1479a7d1a1052
153cda281acb4
hex2065b67f840

2226326599744 has 63 divisors (see below), whose sum is σ = 4784177443437. Its totient is φ = 1027463733504.

The previous prime is 2226326599699. The next prime is 2226326599787. The reversal of 2226326599744 is 4479956236222.

It is a happy number.

The square root of 2226326599744 is 1492088.

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., 329338254400 + 1896988345344 = 573880^2 + 1377312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155169979 + ... + 155184325.

It is an arithmetic number, because the mean of its divisors is an integer number (75939324499).

Almost surely, 22226326599744 is an apocalyptic number.

2226326599744 is the 1492088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226326599744

2226326599744 is an abundant number, since it is smaller than the sum of its proper divisors (2557850843693).

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

2226326599744 is an frugal number, since it uses more digits than its factorization.

2226326599744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28732 (or 14362 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 61.

The spelling of 2226326599744 in words is "two trillion, two hundred twenty-six billion, three hundred twenty-six million, five hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 14347 28694 57388 114776 186511 229552 373022 459104 746044 918208 1492088 2424643 2984176 4849286 5968352 9698572 11936704 19397144 38794288 77588576 155177152 205836409 411672818 823345636 1646691272 2675873317 3293382544 5351746634 6586765088 10703493268 13173530176 21406986536 34786353121 42813973072 69572706242 85627946144 139145412484 171255892288 278290824968 556581649936 1113163299872 2226326599744