Search a number
-
+
46221120 = 26325111459
BaseRepresentation
bin1011000001010…
…0011101000000
310012222021110100
42300110131000
543313033440
64330402400
71100605311
oct260243500
9105867410
1046221120
11240aa680
1213590400
13976439a
1461d2608
1540d0230
hex2c14740

46221120 has 168 divisors, whose sum is σ = 173553120. Its totient is φ = 11197440.

The previous prime is 46221067. The next prime is 46221121. The reversal of 46221120 is 2112264.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 46221093 and 46221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46221121) 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, 30951 + ... + 32409.

Almost surely, 246221120 is an apocalyptic number.

46221120 is a gapful number since it is divisible by the number (40) 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 46221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86776560).

46221120 is an abundant number, since it is smaller than the sum of its proper divisors (127332000).

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

46221120 is a wasteful number, since it uses less digits than its factorization.

46221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 46221120 is about 6798.6116229713. The cubic root of 46221120 is about 358.8779881406.

Adding to 46221120 its reverse (2112264), we get a palindrome (48333384).

The spelling of 46221120 in words is "forty-six million, two hundred twenty-one thousand, one hundred twenty".