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424222040 = 235119071063
BaseRepresentation
bin11001010010010…
…001110101011000
31002120020201020102
4121102101311120
51332100101130
6110032314532
713340553644
oct3122216530
91076221212
10424222040
111a850a330
12ba0a2a48
1369b72678
14404abc24
152739a645
hex19491d58

424222040 has 64 divisors (see below), whose sum is σ = 1043400960. Its totient is φ = 153947520.

The previous prime is 424222033. The next prime is 424222049. The reversal of 424222040 is 40222424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424222049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398549 + ... + 399611.

It is an arithmetic number, because the mean of its divisors is an integer number (16303140).

Almost surely, 2424222040 is an apocalyptic number.

424222040 is a gapful number since it is divisible by the number (40) 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 424222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521700480).

424222040 is an abundant number, since it is smaller than the sum of its proper divisors (619178920).

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

424222040 is a wasteful number, since it uses less digits than its factorization.

424222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 424222040 is about 20596.6511841124. The cubic root of 424222040 is about 751.3882672185.

Adding to 424222040 its reverse (40222424), we get a palindrome (464444464).

The spelling of 424222040 in words is "four hundred twenty-four million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 907 1063 1814 2126 3628 4252 4535 5315 7256 8504 9070 9977 10630 11693 18140 19954 21260 23386 36280 39908 42520 46772 49885 58465 79816 93544 99770 116930 199540 233860 399080 467720 964141 1928282 3856564 4820705 7713128 9641410 10605551 19282820 21211102 38565640 42422204 53027755 84844408 106055510 212111020 424222040