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227142236160 = 21132572179281
BaseRepresentation
bin1101001110001010111…
…0110111100000000000
3210201021221012010212100
43103202232313200000
512210141403024120
6252203034230400
722260540102600
oct3234256674000
9721257163770
10227142236160
118836a963a34
1238031585400
131855b610b48
14adcab8ac00
155d96253490
hex34e2bb7800

227142236160 has 864 divisors, whose sum is σ = 924155341200. Its totient is φ = 51444449280.

The previous prime is 227142236107. The next prime is 227142236161. The reversal of 227142236160 is 61632241722.

227142236160 is a `hidden beast` number, since 2 + 2 + 7 + 14 + 2 + 23 + 616 + 0 = 666.

227142236160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227142236161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 808335220 + ... + 808335500.

Almost surely, 2227142236160 is an apocalyptic number.

227142236160 is a gapful number since it is divisible by the number (20) 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 227142236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462077670600).

227142236160 is an abundant number, since it is smaller than the sum of its proper divisors (697013105040).

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

227142236160 is a wasteful number, since it uses less digits than its factorization.

227142236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 227142236160 its reverse (61632241722), we get a palindrome (288774477882).

The spelling of 227142236160 in words is "two hundred twenty-seven billion, one hundred forty-two million, two hundred thirty-six thousand, one hundred sixty".