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227924127396 = 2238724212
BaseRepresentation
bin1101010001000101010…
…1100010111010100100
3210210022102110100000000
43110101111202322210
512213242034034041
6252412405021300
722316113055100
oct3242125427244
9723272410000
10227924127396
1188731256439
123820b3b4830
13186545c3394
14b062960900
155ddebeebb6
hex3511562ea4

227924127396 has 243 divisors, whose sum is σ = 697604251617. Its totient is φ = 64966497120.

The previous prime is 227924127331. The next prime is 227924127397. The reversal of 227924127396 is 693721429722.

It is a happy number.

The square root of 227924127396 is 477414.

It is a perfect power (a square), and thus also a powerful number.

227924127396 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 241 + 2 + 7 + 396 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1081488996 + 226842638400 = 32886^2 + 476280^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (227924127397) 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 80 ways as a sum of consecutive naturals, for example, 541387266 + ... + 541387686.

Almost surely, 2227924127396 is an apocalyptic number.

227924127396 is the 477414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227924127396

227924127396 is an abundant number, since it is smaller than the sum of its proper divisors (469680124221).

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

227924127396 is an frugal number, since it uses more digits than its factorization.

227924127396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 433 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 227924127396 in words is "two hundred twenty-seven billion, nine hundred twenty-four million, one hundred twenty-seven thousand, three hundred ninety-six".