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422424420 = 2235111016337
BaseRepresentation
bin11001001011011…
…010111101100100
31002102212101100220
4121023122331210
51331120040140
6105530004340
713316356035
oct3113327544
91072771326
10422424420
111a74a17a0
12b95766b0
13696933a2
1440160a8c
1527142bd0
hex192daf64

422424420 has 96 divisors (see below), whose sum is σ = 1303295616. Its totient is φ = 101376000.

The previous prime is 422424407. The next prime is 422424421. The reversal of 422424420 is 24424224.

It is a super-2 number, since 2×4224244202 = 356884781224672800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422424421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63492 + ... + 69828.

It is an arithmetic number, because the mean of its divisors is an integer number (13575996).

Almost surely, 2422424420 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 422424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651647808).

422424420 is an abundant number, since it is smaller than the sum of its proper divisors (880871196).

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

422424420 is a wasteful number, since it uses less digits than its factorization.

422424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 422424420 is about 20552.9662092847. The cubic root of 422424420 is about 750.3254409860.

Adding to 422424420 its reverse (24424224), we get a palindrome (446848644).

The spelling of 422424420 in words is "four hundred twenty-two million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6337 6666 11110 12674 13332 16665 19011 22220 25348 31685 33330 38022 63370 66660 69707 76044 95055 126740 139414 190110 209121 278828 348535 380220 418242 640037 697070 836484 1045605 1280074 1394140 1920111 2091210 2560148 3200185 3840222 4182420 6400370 7040407 7680444 9600555 12800740 14080814 19201110 21121221 28161628 35202035 38402220 42242442 70404070 84484884 105606105 140808140 211212210 422424420