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4000202244 = 2232111116729
BaseRepresentation
bin1110111001101110…
…0011111000000100
3101022210002022212200
43232123203320010
531143022432434
61500534114500
7201062105133
oct35633437004
911283068780
104000202244
111773012175
129377aba30
134b999279c
1429d3a791a
151862b5199
hexee6e3e04

4000202244 has 18 divisors (see below), whose sum is σ = 10111622430. Its totient is φ = 1333400736.

The previous prime is 4000202207. The next prime is 4000202249. The reversal of 4000202244 is 4422020004.

4000202244 is a `hidden beast` number, since 400 + 0 + 20 + 2 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3371195844 + 629006400 = 58062^2 + 25080^2 .

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 (4000202249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55558329 + ... + 55558400.

Almost surely, 24000202244 is an apocalyptic number.

It is an amenable number.

4000202244 is an abundant number, since it is smaller than the sum of its proper divisors (6111420186).

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

4000202244 is a wasteful number, since it uses less digits than its factorization.

4000202244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111116739 (or 111116734 counting only the distinct ones).

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

The square root of 4000202244 is about 63247.1520623656. The cubic root of 4000202244 is about 1587.4278050455.

Adding to 4000202244 its reverse (4422020004), we get a palindrome (8422222248).

The spelling of 4000202244 in words is "four billion, two hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 111116729 222233458 333350187 444466916 666700374 1000050561 1333400748 2000101122 4000202244