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226229386752 = 29345879293
BaseRepresentation
bin1101001010110001010…
…0100111111000000000
3210121221022111120220000
43102230110213320000
512201304210334002
6251532304520000
722226114026215
oct3225424477000
9717838446800
10226229386752
1187a41655736
1237a17920000
1318444468975
14ad41847b0c
155d4103961c
hex34ac527e00

226229386752 has 200 divisors, whose sum is σ = 676458250776. Its totient is φ = 75273228288.

The previous prime is 226229386727. The next prime is 226229386759. The reversal of 226229386752 is 257683922622.

It is a happy number.

226229386752 is a `hidden beast` number, since 2 + 2 + 622 + 9 + 3 + 8 + 6 + 7 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226229386759) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24339418 + ... + 24348710.

Almost surely, 2226229386752 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 226229386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338229125388).

226229386752 is an abundant number, since it is smaller than the sum of its proper divisors (450228864024).

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

226229386752 is an frugal number, since it uses more digits than its factorization.

226229386752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910 (or 9885 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 226229386752 in words is "two hundred twenty-six billion, two hundred twenty-nine million, three hundred eighty-six thousand, seven hundred fifty-two".