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2226561330 = 235710602673
BaseRepresentation
bin1000010010110110…
…1010000100110010
312202011200000221110
42010231222010302
514024444430310
61004534534150
7106114313310
oct20455520462
95664600843
102226561330
11a42921534
12521807356
132963a1416
141719d30b0
15d0716d20
hex84b6a132

2226561330 has 32 divisors (see below), whose sum is σ = 6107140224. Its totient is φ = 508928256.

The previous prime is 2226561317. The next prime is 2226561331. The reversal of 2226561330 is 331656222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2226561331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5301127 + ... + 5301546.

It is an arithmetic number, because the mean of its divisors is an integer number (190848132).

Almost surely, 22226561330 is an apocalyptic number.

2226561330 is an abundant number, since it is smaller than the sum of its proper divisors (3880578894).

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

2226561330 is a wasteful number, since it uses less digits than its factorization.

2226561330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602690.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2226561330 is about 47186.4528228177. The cubic root of 2226561330 is about 1305.8046798058.

The spelling of 2226561330 in words is "two billion, two hundred twenty-six million, five hundred sixty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 10602673 21205346 31808019 53013365 63616038 74218711 106026730 148437422 159040095 222656133 318080190 371093555 445312266 742187110 1113280665 2226561330