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226051445100 = 2235213233181293
BaseRepresentation
bin1101001010000110110…
…1110101000101101100
3210121110220200012211110
43102201231311011230
512200423132220400
6251502510552020
722221523402665
oct3224155650554
9717426605743
10226051445100
1187960169518
1237988208610
1318416635950
14ad25d6836c
155d305dae50
hex34a1b7516c

226051445100 has 288 divisors, whose sum is σ = 758695440384. Its totient is φ = 51506611200.

The previous prime is 226051445099. The next prime is 226051445111. The reversal of 226051445100 is 1544150622.

226051445100 is digitally balanced in base 2, 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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2740054 + ... + 2821346.

It is an arithmetic number, because the mean of its divisors is an integer number (2634359168).

Almost surely, 2226051445100 is an apocalyptic number.

226051445100 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 226051445100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379347720192).

226051445100 is an abundant number, since it is smaller than the sum of its proper divisors (532643995284).

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

226051445100 is a wasteful number, since it uses less digits than its factorization.

226051445100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81377 (or 81370 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 226051445100 its reverse (1544150622), we get a palindrome (227595595722).

The spelling of 226051445100 in words is "two hundred twenty-six billion, fifty-one million, four hundred forty-five thousand, one hundred".