Search a number
-
+
46222488 = 2335133159
BaseRepresentation
bin1011000001010…
…0110010011000
310012222100100000
42300110302120
543313104423
64330413000
71100612304
oct260246230
9105870300
1046222488
1124100704
1213591160
139764bb0
1461d2d04
1540d0843
hex2c14c98

46222488 has 192 divisors, whose sum is σ = 146764800. Its totient is φ = 13530240.

The previous prime is 46222487. The next prime is 46222489. The reversal of 46222488 is 88422264.

It is a happy number.

46222488 is a `hidden beast` number, since 4 + 622 + 24 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (46222487) and next prime (46222489).

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

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 783403 + ... + 783461.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 246222488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46222488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

46222488 is an abundant number, since it is smaller than the sum of its proper divisors (100542312).

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

46222488 is a wasteful number, since it uses less digits than its factorization.

46222488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 46222488 is about 6798.7122310038. The cubic root of 46222488 is about 358.8815286594.

The spelling of 46222488 in words is "forty-six million, two hundred twenty-two thousand, four hundred eighty-eight".