Search a number
-
+
223453620 = 2233513139229
BaseRepresentation
bin11010101000110…
…10000110110100
3120120110121202000
431110122012310
5424201003440
634101215300
75352216165
oct1524320664
9516417660
10223453620
11105152015
1262a01530
13373a96a0
142196976c
151493d730
hexd51a1b4

223453620 has 192 divisors, whose sum is σ = 757344000. Its totient is φ = 54369792.

The previous prime is 223453583. The next prime is 223453621. The reversal of 223453620 is 26354322.

223453620 is a `hidden beast` number, since 2 + 2 + 34 + 5 + 3 + 620 = 666.

It is a super-2 number, since 2×2234536202 = 99863040582208800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223453621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 975666 + ... + 975894.

It is an arithmetic number, because the mean of its divisors is an integer number (3944500).

Almost surely, 2223453620 is an apocalyptic number.

223453620 is a gapful number since it is divisible by the number (20) 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 223453620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378672000).

223453620 is an abundant number, since it is smaller than the sum of its proper divisors (533890380).

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

223453620 is a wasteful number, since it uses less digits than its factorization.

223453620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 223453620 is about 14948.3651279998. The cubic root of 223453620 is about 606.8236032156.

The spelling of 223453620 in words is "two hundred twenty-three million, four hundred fifty-three thousand, six hundred twenty".