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422411400 = 233252234673
BaseRepresentation
bin11001001011010…
…111110010001000
31002102211201111200
4121023113302020
51331114131100
6105525424200
713316303055
oct3113276210
91072751450
10422411400
111a7492a34
12b956b060
136968a498
144015a02c
152713de00
hex192d7c88

422411400 has 72 divisors (see below), whose sum is σ = 1418604330. Its totient is φ = 112642560.

The previous prime is 422411377. The next prime is 422411411. The reversal of 422411400 is 4114224.

It can be written as a sum of positive squares in 3 ways, for example, as 158608836 + 263802564 = 12594^2 + 16242^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115537 + ... + 119136.

Almost surely, 2422411400 is an apocalyptic number.

422411400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422411400 is an abundant number, since it is smaller than the sum of its proper divisors (996192930).

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

422411400 is a wasteful number, since it uses less digits than its factorization.

422411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234695 (or 234683 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 422411400 is about 20552.6494642418. The cubic root of 422411400 is about 750.3177320428.

Adding to 422411400 its reverse (4114224), we get a palindrome (426525624).

The spelling of 422411400 in words is "four hundred twenty-two million, four hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 234673 469346 704019 938692 1173365 1408038 1877384 2112057 2346730 2816076 3520095 4224114 4693460 5632152 5866825 7040190 8448228 9386920 10560285 11733650 14080380 16896456 17600475 21120570 23467300 28160760 35200950 42241140 46934600 52801425 70401900 84482280 105602850 140803800 211205700 422411400