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213422040 = 2336513563
BaseRepresentation
bin11001011100010…
…00111111011000
3112212120222000000
430232020333120
5414114001130
633102213000
75201025456
oct1456107730
9485528000
10213422040
11aa520157
125b584160
13352a6640
14204b79d6
1513b0b260
hexcb88fd8

213422040 has 224 divisors, whose sum is σ = 776729520. Its totient is φ = 52441344.

The previous prime is 213422023. The next prime is 213422059. The reversal of 213422040 is 40224312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 378799 + ... + 379361.

Almost surely, 2213422040 is an apocalyptic number.

213422040 is a gapful number since it is divisible by the number (20) 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 213422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388364760).

213422040 is an abundant number, since it is smaller than the sum of its proper divisors (563307480).

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

213422040 is a wasteful number, since it uses less digits than its factorization.

213422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 213422040 is about 14608.9712163451. The cubic root of 213422040 is about 597.6034402473.

Adding to 213422040 its reverse (40224312), we get a palindrome (253646352).

The spelling of 213422040 in words is "two hundred thirteen million, four hundred twenty-two thousand, forty".