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2022224004 = 223256172889
BaseRepresentation
bin111100010001000…
…1011000010000100
312012221011121211100
41320202023002010
513120142132004
6532355140100
7101053422543
oct17042130204
95187147740
102022224004
11948546909
124852a4630
13262c58b68
1415280215a
15bc802739
hex7888b084

2022224004 has 18 divisors (see below), whose sum is σ = 5111732990. Its totient is φ = 674074656.

The previous prime is 2022224003. The next prime is 2022224041. The reversal of 2022224004 is 4004222202.

It can be written as a sum of positive squares in only one way, i.e., 1465358400 + 556865604 = 38280^2 + 23598^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 (2022224003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28086409 + ... + 28086480.

Almost surely, 22022224004 is an apocalyptic number.

It is an amenable number.

2022224004 is an abundant number, since it is smaller than the sum of its proper divisors (3089508986).

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

2022224004 is a wasteful number, since it uses less digits than its factorization.

2022224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172899 (or 56172894 counting only the distinct ones).

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

The square root of 2022224004 is about 44969.1450218925. The cubic root of 2022224004 is about 1264.5706185903.

Adding to 2022224004 its reverse (4004222202), we get a palindrome (6026446206).

The spelling of 2022224004 in words is "two billion, twenty-two million, two hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 56172889 112345778 168518667 224691556 337037334 505556001 674074668 1011112002 2022224004