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226833454152 = 2332374412
BaseRepresentation
bin1101001101000001010…
…0111101010001001000
3210200111102011101120200
43103100110331101020
512204023331013102
6252112244052200
722250100355524
oct3232024752110
9720442141520
10226833454152
1188221631498
1237b66094060
131850c6599b6
14ad9bb6cd84
155d790ac51c
hex34d053d448

226833454152 has 180 divisors, whose sum is σ = 647181362685. Its totient is φ = 71773274880.

The previous prime is 226833454117. The next prime is 226833454153. The reversal of 226833454152 is 251454338622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226833454152 is a `hidden beast` number, since 2 + 26 + 8 + 3 + 34 + 541 + 52 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26106157476 + 200727296676 = 161574^2 + 448026^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336774.

It is a junction number, because it is equal to n+sod(n) for n = 226833454098 and 226833454107.

It is not an unprimeable number, because it can be changed into a prime (226833454153) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5532523252 + ... + 5532523292.

Almost surely, 2226833454152 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 226833454152

226833454152 is an abundant number, since it is smaller than the sum of its proper divisors (420347908533).

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

226833454152 is an frugal number, since it uses more digits than its factorization.

226833454152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 83 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 226833454152 in words is "two hundred twenty-six billion, eight hundred thirty-three million, four hundred fifty-four thousand, one hundred fifty-two".