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46228644 = 223471117109
BaseRepresentation
bin1011000001011…
…0010010100100
310012222122210000
42300112102210
543313304034
64330501300
71100636250
oct260262244
9105878700
1046228644
11241052a0
1213594830
139767937
1461d5260
1540d2599
hex2c164a4

46228644 has 240 divisors, whose sum is σ = 160997760. Its totient is φ = 11197440.

The previous prime is 46228631. The next prime is 46228669. The reversal of 46228644 is 44682264.

It is a happy number.

46228644 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 8 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46228599 and 46228608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 424062 + ... + 424170.

It is an arithmetic number, because the mean of its divisors is an integer number (670824).

Almost surely, 246228644 is an apocalyptic number.

46228644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46228644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80498880).

46228644 is an abundant number, since it is smaller than the sum of its proper divisors (114769116).

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

46228644 is a wasteful number, since it uses less digits than its factorization.

46228644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 46228644 is about 6799.1649487272. The cubic root of 46228644 is about 358.8974601300.

The spelling of 46228644 in words is "forty-six million, two hundred twenty-eight thousand, six hundred forty-four".