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210048972 = 223723229163
BaseRepresentation
bin11001000010100…
…01011111001100
3112122020121000120
430201101133030
5412233031342
632502024540
75130246450
oct1441213714
9478217016
10210048972
11a86269a1
125a418150
1334695243
141dc7a660
1513691aec
hexc8517cc

210048972 has 144 divisors (see below), whose sum is σ = 609450240. Its totient is φ = 55085184.

The previous prime is 210048967. The next prime is 210048973. The reversal of 210048972 is 279840012.

It is a happy number.

210048972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (210048973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288563 + ... + 1288725.

Almost surely, 2210048972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210048972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304725120).

210048972 is an abundant number, since it is smaller than the sum of its proper divisors (399401268).

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

210048972 is a wasteful number, since it uses less digits than its factorization.

210048972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 210048972 is about 14493.0663422203. The cubic root of 210048972 is about 594.4383957718.

Adding to 210048972 its reverse (279840012), we get a palindrome (489888984).

The spelling of 210048972 in words is "two hundred ten million, forty-eight thousand, nine hundred seventy-two".