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46220274 = 2331922371
BaseRepresentation
bin1011000001010…
…0001111110010
310012222020022000
42300110033302
543313022044
64330354430
71100602662
oct260241762
9105866260
1046220274
11240a9a81
121358ba16
139763b99
1461d21a2
1540ced69
hex2c143f2

46220274 has 48 divisors (see below), whose sum is σ = 108447840. Its totient is φ = 14589720.

The previous prime is 46220269. The next prime is 46220333. The reversal of 46220274 is 47202264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18309 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (2259330).

Almost surely, 246220274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46220274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54223920).

46220274 is an abundant number, since it is smaller than the sum of its proper divisors (62227566).

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

46220274 is a wasteful number, since it uses less digits than its factorization.

46220274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 46220274 is about 6798.5494041008. The cubic root of 46220274 is about 358.8757985742.

It can be divided in two parts, 462 and 20274, that added together give a 4-th power (20736 = 124).

The spelling of 46220274 in words is "forty-six million, two hundred twenty thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 2371 3249 4742 6498 7113 9747 14226 19494 21339 42678 45049 64017 90098 128034 135147 270294 405441 810882 855931 1216323 1711862 2432646 2567793 5135586 7703379 15406758 23110137 46220274