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946228806 = 232176746153
BaseRepresentation
bin111000011001100…
…100111001000110
32102221111101220100
4320121210321012
53414213310211
6233520544530
732306545365
oct7031447106
92387441810
10946228806
11446137786
12224a82146
13121061403
148d9517dc
155810e156
hex38664e46

946228806 has 48 divisors (see below), whose sum is σ = 2203207344. Its totient is φ = 292419072.

The previous prime is 946228799. The next prime is 946228807. The reversal of 946228806 is 608822649.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946228807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2575 + ... + 43578.

It is an arithmetic number, because the mean of its divisors is an integer number (45900153).

Almost surely, 2946228806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946228806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101603672).

946228806 is an abundant number, since it is smaller than the sum of its proper divisors (1256978538).

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

946228806 is a wasteful number, since it uses less digits than its factorization.

946228806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46245 (or 46242 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 946228806 is about 30760.8323359431. The cubic root of 946228806 is about 981.7450533683.

The spelling of 946228806 in words is "nine hundred forty-six million, two hundred twenty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 306 402 603 1139 1206 2278 3417 6834 10251 20502 46153 92306 138459 276918 415377 784601 830754 1569202 2353803 3092251 4707606 6184502 7061409 9276753 14122818 18553506 27830259 52568267 55660518 105136534 157704801 315409602 473114403 946228806