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22002442002 = 2321609775937
BaseRepresentation
bin10100011111011100…
…101001111100010010
32002210101110212021100
4110133130221330102
5330030111121002
614035140405230
71406145446142
oct243734517422
962711425240
1022002442002
119370894372
1243206a6816
1320c84c8668
1410ca218922
1588b96211c
hex51f729f12

22002442002 has 24 divisors (see below), whose sum is σ = 47675547036. Its totient is φ = 7333595136.

The previous prime is 22002441977. The next prime is 22002442027. The reversal of 22002442002 is 20024420022.

22002442002 is a `hidden beast` number, since 220 + 0 + 2 + 442 + 0 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22002441977) and next prime (22002442027).

It can be written as a sum of positive squares in 2 ways, for example, as 21571090641 + 431351361 = 146871^2 + 20769^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 251778 + ... + 327714.

Almost surely, 222002442002 is an apocalyptic number.

22002442002 is an abundant number, since it is smaller than the sum of its proper divisors (25673105034).

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

22002442002 is a wasteful number, since it uses less digits than its factorization.

22002442002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92042 (or 92039 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22002442002 its reverse (20024420022), we get a palindrome (42026862024).

It can be divided in two parts, 2 and 2002442002, that multiplied together give a palindrome (4004884004).

The spelling of 22002442002 in words is "twenty-two billion, two million, four hundred forty-two thousand, two".

Divisors: 1 2 3 6 9 18 16097 32194 48291 75937 96582 144873 151874 227811 289746 455622 683433 1366866 1222357889 2444715778 3667073667 7334147334 11001221001 22002442002