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226820821744 = 24112579499711
BaseRepresentation
bin1101001100111110010…
…0110001001011110000
3210200110112101121011201
43103033210301023300
512204012112243434
6252111113220544
722246555113406
oct3231744611360
9720415347151
10226820821744
1188215493590
1237b61a01754
1318509b55bba
14ad9a201476
155d77e14614
hex34cf9312f0

226820821744 has 40 divisors (see below), whose sum is σ = 479603589120. Its totient is φ = 103060190400.

The previous prime is 226820821741. The next prime is 226820821781. The reversal of 226820821744 is 447128028622.

It is a happy number.

226820821744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 226820821694 and 226820821703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226820821741) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 204049 + ... + 703759.

It is an arithmetic number, because the mean of its divisors is an integer number (11990089728).

Almost surely, 2226820821744 is an apocalyptic number.

It is an amenable number.

226820821744 is an abundant number, since it is smaller than the sum of its proper divisors (252782767376).

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

226820821744 is a wasteful number, since it uses less digits than its factorization.

226820821744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502309 (or 502303 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 46.

The spelling of 226820821744 in words is "two hundred twenty-six billion, eight hundred twenty million, eight hundred twenty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2579 5158 10316 20632 28369 41264 56738 113476 226952 453904 499711 999422 1998844 3997688 5496821 7995376 10993642 21987284 43974568 87949136 1288754669 2577509338 5155018676 10310037352 14176301359 20620074704 28352602718 56705205436 113410410872 226820821744