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212121504 = 25377433
BaseRepresentation
bin11001010010010…
…11011110100000
3112210010220000000
430221023132200
5413300342004
633014300000
75154001020
oct1451133640
9483126000
10212121504
11a9812031
125b057600
1334c3c6aa
1420259a80
1513950c39
hexca4b7a0

212121504 has 192 divisors, whose sum is σ = 717454080. Its totient is φ = 60466176.

The previous prime is 212121487. The next prime is 212121509. The reversal of 212121504 is 405121212.

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

It is not an unprimeable number, because it can be changed into a prime (212121509) 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 31 ways as a sum of consecutive naturals, for example, 489672 + ... + 490104.

It is an arithmetic number, because the mean of its divisors is an integer number (3736740).

Almost surely, 2212121504 is an apocalyptic number.

212121504 is a gapful number since it is divisible by the number (24) 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 212121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358727040).

212121504 is an abundant number, since it is smaller than the sum of its proper divisors (505332576).

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

212121504 is an frugal number, since it uses more digits than its factorization.

212121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212121504 is about 14564.3916453795. The cubic root of 212121504 is about 596.3870884500.

Adding to 212121504 its reverse (405121212), we get a palindrome (617242716).

The spelling of 212121504 in words is "two hundred twelve million, one hundred twenty-one thousand, five hundred four".