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227113482240 = 2113256171569
BaseRepresentation
bin1101001110000100000…
…1001011100000000000
3210201012221002021220100
43103201001023200000
512210112022412430
6252200130042400
722260040514121
oct3234101134000
9721187067810
10227113482240
1188355704767
1238023a19400
13185556840a8
14adc7024048
155d93973960
hex34e104b800

227113482240 has 576 divisors, whose sum is σ = 812732356800. Its totient is φ = 58628505600.

The previous prime is 227113482229. The next prime is 227113482269. The reversal of 227113482240 is 42284311722.

227113482240 is a `hidden beast` number, since 2 + 2 + 71 + 1 + 348 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 227113482195 and 227113482204.

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, 399144676 + ... + 399145244.

It is an arithmetic number, because the mean of its divisors is an integer number (1410993675).

Almost surely, 2227113482240 is an apocalyptic number.

227113482240 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 227113482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406366178400).

227113482240 is an abundant number, since it is smaller than the sum of its proper divisors (585618874560).

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

227113482240 is a wasteful number, since it uses less digits than its factorization.

227113482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 227113482240 its reverse (42284311722), we get a palindrome (269397793962).

The spelling of 227113482240 in words is "two hundred twenty-seven billion, one hundred thirteen million, four hundred eighty-two thousand, two hundred forty".