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4022434422204 = 22311106328666969
BaseRepresentation
bin111010100010001011110…
…001100101110110111100
3112020112121101000102122020
4322202023301211312330
51011400421203002304
612315514133320140
7563416450310622
oct72421361456674
915215541012566
104022434422204
1113109a5404070
1254b6a9196050
13232410951a83
14dc988a85512
156e9757eb5d9
hex3a88bc65dbc

4022434422204 has 48 divisors (see below), whose sum is σ = 10248556442880. Its totient is φ = 1217772800640.

The previous prime is 4022434422179. The next prime is 4022434422233. The reversal of 4022434422204 is 4022244342204.

It is a happy number.

It is a super-3 number, since 3×40224344222043 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14193169 + ... + 14473800.

It is an arithmetic number, because the mean of its divisors is an integer number (213511592560).

Almost surely, 24022434422204 is an apocalyptic number.

4022434422204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4022434422204 is an abundant number, since it is smaller than the sum of its proper divisors (6226122020676).

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

4022434422204 is a wasteful number, since it uses less digits than its factorization.

4022434422204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28668050 (or 28668048 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 4022434422204 its reverse (4022244342204), we get a palindrome (8044678764408).

The spelling of 4022434422204 in words is "four trillion, twenty-two billion, four hundred thirty-four million, four hundred twenty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1063 2126 3189 4252 6378 11693 12756 23386 35079 46772 70158 140316 28666969 57333938 86000907 114667876 172001814 315336659 344003628 630673318 946009977 1261346636 1892019954 3784039908 30472988047 60945976094 91418964141 121891952188 182837928282 335202868517 365675856564 670405737034 1005608605551 1340811474068 2011217211102 4022434422204