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422412242214224 = 24235632038826561
BaseRepresentation
bin110000000001011101000001…
…1101001010101110101010000
32001101122012211110000202120002
41200002322003221111311100
5420331300233001323344
64054221301035305132
7154655164100324063
oct14002720351256520
92041565743022502
10422412242214224
11112659031513629
123b4623a52ab1a8
13151913c3ab3612
147644c0c3868da
1533c7da250344e
hex1802e83a55d50

422412242214224 has 40 divisors (see below), whose sum is σ = 855524246640192. Its totient is φ = 201664412702720.

The previous prime is 422412242214197. The next prime is 422412242214241.

422412242214224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4224122422142243 (a number of 45 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019206097 + ... + 1019620464.

Almost surely, 2422412242214224 is an apocalyptic number.

It is an amenable number.

422412242214224 is an abundant number, since it is smaller than the sum of its proper divisors (433112004425968).

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

422412242214224 is a wasteful number, since it uses less digits than its factorization.

422412242214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038827155 (or 2038827149 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

The spelling of 422412242214224 in words is "four hundred twenty-two trillion, four hundred twelve billion, two hundred forty-two million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 563 1126 2252 4504 9008 12949 25898 51796 103592 207184 2038826561 4077653122 8155306244 16310612488 32621224976 46893010903 93786021806 187572043612 375144087224 750288174448 1147859353843 2295718707686 4591437415372 9182874830744 18365749661488 26400765138389 52801530276778 105603060553556 211206121107112 422412242214224