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422420024224 = 25116827175781
BaseRepresentation
bin1100010010110100011…
…00100000101110100000
31111101100011210121101101
412021122030200232200
523410104011233344
6522020155044144
742342650651062
oct6113214405640
91441304717341
10422420024224
11153169100440
1269a4b740654
1330aac4c3073
1416633a3b732
15aec4d439d4
hex625a320ba0

422420024224 has 48 divisors (see below), whose sum is σ = 907381058976. Its totient is φ = 191979884800.

The previous prime is 422420024219. The next prime is 422420024251.

422420024224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422420024192 and 422420024201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2315214 + ... + 2490994.

It is an arithmetic number, because the mean of its divisors is an integer number (18903772062).

Almost surely, 2422420024224 is an apocalyptic number.

422420024224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422420024224 is an abundant number, since it is smaller than the sum of its proper divisors (484961034752).

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

422420024224 is a wasteful number, since it uses less digits than its factorization.

422420024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182629 (or 182621 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 4224200 and 24224, that added together give a palindrome (4248424).

The spelling of 422420024224 in words is "four hundred twenty-two billion, four hundred twenty million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 6827 13654 27308 54616 75097 109232 150194 175781 218464 300388 351562 600776 703124 1201552 1406248 1933591 2403104 2812496 3867182 5624992 7734364 15468728 30937456 61874912 1200056887 2400113774 4800227548 9600455096 13200625757 19200910192 26401251514 38401820384 52802503028 105605006056 211210012112 422420024224