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424222464 = 2833714929
BaseRepresentation
bin11001010010010…
…001111100000000
31002120020201211010
4121102101330000
51332100104324
6110032320520
713340555121
oct3122217400
91076221733
10424222464
111a850a686
12ba0a3140
1369b72913
14404ac048
152739a829
hex19491f00

424222464 has 72 divisors (see below), whose sum is σ = 1159642960. Its totient is φ = 137576448.

The previous prime is 424222459. The next prime is 424222483. The reversal of 424222464 is 464222424.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20952 + ... + 35880.

Almost surely, 2424222464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579821480).

424222464 is an abundant number, since it is smaller than the sum of its proper divisors (735420496).

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

424222464 is a wasteful number, since it uses less digits than its factorization.

424222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985 (or 14971 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 424222464 is about 20596.6614770453. The cubic root of 424222464 is about 751.3885175501.

Adding to 424222464 its reverse (464222424), we get a palindrome (888444888).

The spelling of 424222464 in words is "four hundred twenty-four million, two hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 14929 28416 29858 44787 59716 89574 119432 179148 238864 358296 477728 552373 716592 955456 1104746 1433184 1657119 1910912 2209492 2866368 3314238 3821824 4418984 5732736 6628476 8837968 11465472 13256952 17675936 26513904 35351872 53027808 70703744 106055616 141407488 212111232 424222464