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422413400 = 235223229401
BaseRepresentation
bin11001001011011…
…000010001011000
31002102211211020202
4121023120101120
51331114212100
6105525441332
713316311643
oct3113302130
91072754222
10422413400
111a7494492
12b9570248
136968b376
144015aa5a
152713e7d5
hex192d8458

422413400 has 96 divisors (see below), whose sum is σ = 1031853600. Its totient is φ = 160512000.

The previous prime is 422413379. The next prime is 422413417. The reversal of 422413400 is 4314224.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053200 + ... + 1053600.

It is an arithmetic number, because the mean of its divisors is an integer number (10748475).

Almost surely, 2422413400 is an apocalyptic number.

422413400 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 422413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515926800).

422413400 is an abundant number, since it is smaller than the sum of its proper divisors (609440200).

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

422413400 is a wasteful number, since it uses less digits than its factorization.

422413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 422413400 is about 20552.6981197117. The cubic root of 422413400 is about 750.3189162226.

Adding to 422413400 its reverse (4314224), we get a palindrome (426727624).

The spelling of 422413400 in words is "four hundred twenty-two million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 229 230 401 458 460 575 802 916 920 1145 1150 1604 1832 2005 2290 2300 3208 4010 4580 4600 5267 5725 8020 9160 9223 10025 10534 11450 16040 18446 20050 21068 22900 26335 36892 40100 42136 45800 46115 52670 73784 80200 91829 92230 105340 131675 183658 184460 210680 230575 263350 367316 368920 459145 461150 526700 734632 918290 922300 1053400 1836580 1844600 2112067 2295725 3673160 4224134 4591450 8448268 9182900 10560335 16896536 18365800 21120670 42241340 52801675 84482680 105603350 211206700 422413400