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213997950 = 2375219103
BaseRepresentation
bin11001100000101…
…01100101111110
3112220200020000000
430300111211332
5414240413300
633122415130
75205644505
oct1460254576
9486606000
10213997950
11aa883911
125b8014a6
133544880a
14205c783c
1513bc1c00
hexcc1597e

213997950 has 192 divisors, whose sum is σ = 634483200. Its totient is φ = 53537760.

The previous prime is 213997939. The next prime is 213997951. The reversal of 213997950 is 59799312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213997896 and 213997905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213997951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2077599 + ... + 2077701.

It is an arithmetic number, because the mean of its divisors is an integer number (3304600).

Almost surely, 2213997950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213997950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317241600).

213997950 is an abundant number, since it is smaller than the sum of its proper divisors (420485250).

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

213997950 is a wasteful number, since it uses less digits than its factorization.

213997950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 213997950 is about 14628.6687706025. The cubic root of 213997950 is about 598.1404930097.

The spelling of 213997950 in words is "two hundred thirteen million, nine hundred ninety-seven thousand, nine hundred fifty".