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216139392 = 273273547
BaseRepresentation
bin11001110001000…
…00011010000000
3120001201000111200
430320200122000
5420312430032
633240341200
75233104000
oct1470403200
9501630450
10216139392
111010067a7
1260474800
1335a18441
14209c4000
1513e9647c
hexce20680

216139392 has 192 divisors, whose sum is σ = 726648000. Its totient is φ = 61641216.

The previous prime is 216139381. The next prime is 216139393. The reversal of 216139392 is 293931612.

It is a happy number.

216139392 is a `hidden beast` number, since 2 + 1 + 613 + 9 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216139393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394863 + ... + 395409.

It is an arithmetic number, because the mean of its divisors is an integer number (3784625).

Almost surely, 2216139392 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 216139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363324000).

216139392 is an abundant number, since it is smaller than the sum of its proper divisors (510508608).

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

216139392 is an equidigital number, since it uses as much as digits as its factorization.

216139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 559 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 216139392 is about 14701.6799040110. The cubic root of 216139392 is about 600.1290389129.

The spelling of 216139392 in words is "two hundred sixteen million, one hundred thirty-nine thousand, three hundred ninety-two".