Search a number
-
+
46222484 = 22721121949
BaseRepresentation
bin1011000001010…
…0110010010100
310012222100022212
42300110302110
543313104414
64330412552
71100612300
oct260246224
9105870285
1046222484
1124100700
1213591158
139764ba9
1461d2d00
1540d083e
hex2c14c94

46222484 has 54 divisors (see below), whose sum is σ = 103480650. Its totient is φ = 17999520.

The previous prime is 46222483. The next prime is 46222487. The reversal of 46222484 is 48422264.

It can be written as a sum of positive squares in only one way, i.e., 43850884 + 2371600 = 6622^2 + 1540^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46222484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46222481) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22742 + ... + 24690.

Almost surely, 246222484 is an apocalyptic number.

46222484 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 46222484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51740325).

46222484 is an abundant number, since it is smaller than the sum of its proper divisors (57258166).

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

46222484 is a wasteful number, since it uses less digits than its factorization.

46222484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1969 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

The square root of 46222484 is about 6798.7119368304. The cubic root of 46222484 is about 358.8815183072.

The spelling of 46222484 in words is "forty-six million, two hundred twenty-two thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 1949 2156 3388 3898 5929 7796 11858 13643 21439 23716 27286 42878 54572 85756 95501 150073 191002 235829 300146 382004 471658 600292 943316 1050511 1650803 2101022 3301606 4202044 6603212 11555621 23111242 46222484