Search a number
-
+
57227346 = 23211389743
BaseRepresentation
bin1101101001001…
…1100001010010
310222200110011100
43122103201102
5104122233341
65402325230
71263265401
oct332234122
9128613140
1057227346
112a337830
12171b9816
13bb18c47
147859638
1550563b6
hex3693852

57227346 has 48 divisors (see below), whose sum is σ = 135794880. Its totient is φ = 17273760.

The previous prime is 57227299. The next prime is 57227347. The reversal of 57227346 is 64372275.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57227346.

It is not an unprimeable number, because it can be changed into a prime (57227347) 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, 76651 + ... + 77393.

It is an arithmetic number, because the mean of its divisors is an integer number (2829060).

Almost surely, 257227346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57227346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

57227346 is an abundant number, since it is smaller than the sum of its proper divisors (78567534).

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

57227346 is a wasteful number, since it uses less digits than its factorization.

57227346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1148 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 57227346 is about 7564.8758086303. The cubic root of 57227346 is about 385.3610959737.

Subtracting 57227346 from its reverse (64372275), we obtain a square (7144929 = 26732).

The spelling of 57227346 in words is "fifty-seven million, two hundred twenty-seven thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 389 743 778 1167 1486 2229 2334 3501 4279 4458 6687 7002 8173 8558 12837 13374 16346 24519 25674 38511 49038 73557 77022 147114 289027 578054 867081 1734162 2601243 3179297 5202486 6358594 9537891 19075782 28613673 57227346