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422254452224 = 2911111767121
BaseRepresentation
bin1100010010100000101…
…00111001111000000000
31111100220122020200022002
412021100110321320000
523404234114432344
6521551522203132
742335600423633
oct6112024717000
91440818220262
10422254452224
111530936a2780
1269a041b34a8
1330a84101377
1416619a5bc1a
15aeb553a44e
hex6250539e00

422254452224 has 80 divisors (see below), whose sum is σ = 921220453296. Its totient is φ = 191759155200.

The previous prime is 422254452223. The next prime is 422254452307.

422254452224 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422254452223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6257384 + ... + 6324504.

Almost surely, 2422254452224 is an apocalyptic number.

422254452224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422254452224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460610226648).

422254452224 is an abundant number, since it is smaller than the sum of its proper divisors (498966001072).

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

422254452224 is a wasteful number, since it uses less digits than its factorization.

422254452224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68267 (or 68251 counting only the distinct ones).

The product of its digits is 409600, while the sum is 38.

It can be divided in two parts, 422254 and 452224, that added together give a palindrome (874478).

The spelling of 422254452224 in words is "four hundred twenty-two billion, two hundred fifty-four million, four hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1117 1408 2234 2816 4468 5632 8936 12287 17872 24574 35744 49148 67121 71488 98296 134242 142976 196592 268484 285952 393184 536968 571904 738331 786368 1073936 1476662 1572736 2147872 2953324 3145472 4295744 5906648 6290944 8591488 11813296 17182976 23626592 34365952 47253184 74974157 94506368 149948314 189012736 299896628 378025472 599793256 824715727 1199586512 1649431454 2399173024 3298862908 4798346048 6597725816 9596692096 13195451632 19193384192 26390903264 38386768384 52781806528 105563613056 211127226112 422254452224