Search a number
-
+
213254496 = 253271379103
BaseRepresentation
bin11001011011000…
…00000101100000
3112212021110011200
430231200011200
5414043120441
633054441200
75166430140
oct1455400540
9485243150
10213254496
11aa416294
125b503200
13352482c0
1420472920
1513ac67b6
hexcb60160

213254496 has 288 divisors, whose sum is σ = 763176960. Its totient is φ = 54991872.

The previous prime is 213254449. The next prime is 213254533. The reversal of 213254496 is 694452312.

It is a happy number.

213254496 is a `hidden beast` number, since 21 + 3 + 2 + 544 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213254496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2070381 + ... + 2070483.

It is an arithmetic number, because the mean of its divisors is an integer number (2649920).

Almost surely, 2213254496 is an apocalyptic number.

213254496 is a gapful number since it is divisible by the number (26) 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 213254496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381588480).

213254496 is an abundant number, since it is smaller than the sum of its proper divisors (549922464).

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

213254496 is a wasteful number, since it uses less digits than its factorization.

213254496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 213254496 is about 14603.2358058069. The cubic root of 213254496 is about 597.4470192223.

The spelling of 213254496 in words is "two hundred thirteen million, two hundred fifty-four thousand, four hundred ninety-six".