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422223322224 = 24311272696853
BaseRepresentation
bin1100010010011100111…
…10001001110001110000
31111100211110200002222010
412021032132021301300
523404203132302344
6521544451042520
742335042010624
oct6111636116160
91440743602863
10422223322224
11153078070300
12699b58a0440
1330a7a821c52
1416615877184
15aeb293b8b9
hex624e789c70

422223322224 has 60 divisors (see below), whose sum is σ = 1198916516168. Its totient is φ = 127946459520.

The previous prime is 422223322219. The next prime is 422223322237.

It is a happy number.

422223322224 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 422223322191 and 422223322200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36342619 + ... + 36354234.

Almost surely, 2422223322224 is an apocalyptic number.

422223322224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422223322224 is an abundant number, since it is smaller than the sum of its proper divisors (776693193944).

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

422223322224 is a wasteful number, since it uses less digits than its factorization.

422223322224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72696886 (or 72696869 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

It can be divided in two parts, 422223 and 322224, that added together give a palindrome (744447).

The spelling of 422223322224 in words is "four hundred twenty-two billion, two hundred twenty-three million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 72696853 145393706 218090559 290787412 436181118 581574824 799665383 872362236 1163149648 1599330766 1744724472 2398996149 3198661532 3489448944 4797992298 6397323064 8796319213 9595984596 12794646128 17592638426 19191969192 26388957639 35185276852 38383938384 52777915278 70370553704 105555830556 140741107408 211111661112 422223322224