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226550802240 = 263257223223313
BaseRepresentation
bin1101001011111101111…
…0101110011101000000
3210122202201022012001100
43102333132232131000
512202434001132430
6252024225534400
722240066021500
oct3227736563500
9718681265040
10226550802240
1188097026974
1237aa74a4400
1318495c24249
14ad723d3a00
155d5e378960
hex34bf7ae740

226550802240 has 1008 divisors, whose sum is σ = 953151833088. Its totient is φ = 49151950848.

The previous prime is 226550802211. The next prime is 226550802281. The reversal of 226550802240 is 42208055622.

226550802240 is a `hidden beast` number, since 2 + 2 + 6 + 550 + 80 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 226550802195 and 226550802204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 723804324 + ... + 723804636.

It is an arithmetic number, because the mean of its divisors is an integer number (945587136).

Almost surely, 2226550802240 is an apocalyptic number.

226550802240 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 226550802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476575916544).

226550802240 is an abundant number, since it is smaller than the sum of its proper divisors (726601030848).

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

226550802240 is a wasteful number, since it uses less digits than its factorization.

226550802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 226550802240 its reverse (42208055622), we get a palindrome (268758857862).

The spelling of 226550802240 in words is "two hundred twenty-six billion, five hundred fifty million, eight hundred two thousand, two hundred forty".