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422433334224 = 243211266687711
BaseRepresentation
bin1100010010110101111…
…11010010001111010000
31111101101002211211021100
412021122333102033100
523410120413143344
6522021352224400
742343202044536
oct6113277221720
91441332754240
10422433334224
11153175671440
1269a5409b100
1330ab21a33c5
1416635704156
15aec60c2569
hex625afd23d0

422433334224 has 60 divisors (see below), whose sum is σ = 1289701775232. Its totient is φ = 128010100800.

The previous prime is 422433334199. The next prime is 422433334249.

422433334224 is a `hidden beast` number, since 4 + 224 + 3 + 3 + 3 + 3 + 422 + 4 = 666.

422433334224 is nontrivially palindromic in base 10.

422433334224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (422433334199) and next prime (422433334249).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 133342272 + ... + 133345439.

Almost surely, 2422433334224 is an apocalyptic number.

422433334224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422433334224 is an abundant number, since it is smaller than the sum of its proper divisors (867268441008).

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

422433334224 is a wasteful number, since it uses less digits than its factorization.

422433334224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266687736 (or 266687727 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 422433 and 334224, that added together give a palindrome (756657).

The spelling of 422433334224 in words is "four hundred twenty-two billion, four hundred thirty-three million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 266687711 533375422 800063133 1066750844 1600126266 2133501688 2400189399 2933564821 3200252532 4267003376 4800378798 5867129642 6400505064 8800694463 9600757596 11734259284 12801010128 17601388926 19201515192 23468518568 26402083389 35202777852 38403030384 46937037136 52804166778 70405555704 105608333556 140811111408 211216667112 422433334224