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226228173696 = 27347219231019
BaseRepresentation
bin1101001010110000111…
…1111111101110000000
3210121221020012221220000
43102230033333232000
512201303403024241
6251532222520000
722226100514500
oct3225417775600
9717836187800
10226228173696
1187a409a7308
1237a17436000
1318444132795
14ad4160da00
155d40d99eb6
hex34ac3ffb80

226228173696 has 960 divisors, whose sum is σ = 861076656000. Its totient is φ = 58514835456.

The previous prime is 226228173649. The next prime is 226228173697. The reversal of 226228173696 is 696371822622.

226228173696 is a `hidden beast` number, since 2 + 2 + 622 + 8 + 1 + 7 + 3 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226228173697) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 222009475 + ... + 222010493.

It is an arithmetic number, because the mean of its divisors is an integer number (896954850).

Almost surely, 2226228173696 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 226228173696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430538328000).

226228173696 is an abundant number, since it is smaller than the sum of its proper divisors (634848482304).

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

226228173696 is a wasteful number, since it uses less digits than its factorization.

226228173696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1073 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 226228173696 in words is "two hundred twenty-six billion, two hundred twenty-eight million, one hundred seventy-three thousand, six hundred ninety-six".