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2226004002 = 2322113671597
BaseRepresentation
bin1000010010101110…
…0010000000100010
312202010121201102200
42010223202000202
514024324112002
61004514554030
7106106502405
oct20453420042
95663551380
102226004002
11a42580832
12521598916
13296237841
141718c9d3c
15d0656b1c
hex84ae2022

2226004002 has 48 divisors (see below), whose sum is σ = 4862113152. Its totient is φ = 736011360.

The previous prime is 2226003991. The next prime is 2226004003. The reversal of 2226004002 is 2004006222.

It is a happy number.

2226004002 is a `hidden beast` number, since 2 + 2 + 260 + 0 + 400 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2226004003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393068 + ... + 1394664.

It is an arithmetic number, because the mean of its divisors is an integer number (101294024).

Almost surely, 22226004002 is an apocalyptic number.

2226004002 is an abundant number, since it is smaller than the sum of its proper divisors (2636109150).

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

2226004002 is a wasteful number, since it uses less digits than its factorization.

2226004002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2226004002 is about 47180.5468599083. The cubic root of 2226004002 is about 1305.6957192260.

The spelling of 2226004002 in words is "two billion, two hundred twenty-six million, four thousand, two".

Divisors: 1 2 3 6 9 18 211 367 422 633 734 1101 1266 1597 1899 2202 3194 3303 3798 4791 6606 9582 14373 28746 77437 154874 232311 336967 464622 586099 673934 696933 1010901 1172198 1393866 1758297 2021802 3032703 3516594 5274891 6065406 10549782 123666889 247333778 371000667 742001334 1113002001 2226004002