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227968350456 = 233711178387427
BaseRepresentation
bin1101010001001111111…
…0001111100011111000
3210210102111200002122010
43110103332033203320
512213334344203311
6252421024525520
722320161002230
oct3242376174370
9723374602563
10227968350456
1188754210920
12382221808a0
1318660808182
14b068792cc0
155de3a37da6
hex3513f8f8f8

227968350456 has 256 divisors, whose sum is σ = 761420943360. Its totient is φ = 55057397760.

The previous prime is 227968350433. The next prime is 227968350457. The reversal of 227968350456 is 654053869722.

It is a junction number, because it is equal to n+sod(n) for n = 227968350396 and 227968350405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227968350457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2563815 + ... + 2651241.

It is an arithmetic number, because the mean of its divisors is an integer number (2974300560).

Almost surely, 2227968350456 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 227968350456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380710471680).

227968350456 is an abundant number, since it is smaller than the sum of its proper divisors (533452592904).

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

227968350456 is a wasteful number, since it uses less digits than its factorization.

227968350456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87554 (or 87550 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 227968350456 in words is "two hundred twenty-seven billion, nine hundred sixty-eight million, three hundred fifty thousand, four hundred fifty-six".