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226671210000 = 243454234
BaseRepresentation
bin1101001100011010101…
…0000010111000010000
3210200002002212112110000
43103012222002320100
512203210312210000
6252044210410000
722243060331514
oct3230652027020
9720062775400
10226671210000
1188148a97014
1237b1b890900
13184b4b61941
14ad843b8144
155d69c10000
hex34c6a82e10

226671210000 has 625 divisors, whose sum is σ = 857066518891. Its totient is φ = 57817584000.

The previous prime is 226671209983. The next prime is 226671210001. The reversal of 226671210000 is 12176622.

The square root of 226671210000 is 476100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 17771022864 + 208900187136 = 133308^2 + 457056^2 .

It is a tau number, because it is divible by the number of its divisors (625).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226671210001) by changing a digit.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 9855269989 + ... + 9855270011.

Almost surely, 2226671210000 is an apocalyptic number.

226671210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

226671210000 is the 476100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226671210000

226671210000 is an abundant number, since it is smaller than the sum of its proper divisors (630395308891).

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

226671210000 is an frugal number, since it uses more digits than its factorization.

226671210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 226671210000 its reverse (12176622), we get a palindrome (226683386622).

The spelling of 226671210000 in words is "two hundred twenty-six billion, six hundred seventy-one million, two hundred ten thousand".