Search a number
-
+
223465121100 = 22325213111717099
BaseRepresentation
bin1101000000011110001…
…1110010010101001100
3210100210200001100021200
43100013203302111030
512130124032333400
6250354121025500
722100450121534
oct3200743622514
9710720040250
10223465121100
1186853264a71
1237386025290
13180c3870810
14ab5c6864c4
155c2d50cb00
hex34078f254c

223465121100 has 216 divisors, whose sum is σ = 755038393200. Its totient is φ = 54954339840.

The previous prime is 223465121017. The next prime is 223465121107. The reversal of 223465121100 is 1121564322.

223465121100 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 651 + 2 + 1 + 1 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (223465121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13060351 + ... + 13077449.

Almost surely, 2223465121100 is an apocalyptic number.

223465121100 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 223465121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377519196600).

223465121100 is an abundant number, since it is smaller than the sum of its proper divisors (531573272100).

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

223465121100 is a wasteful number, since it uses less digits than its factorization.

223465121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18249 (or 18239 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 223465121100 its reverse (1121564322), we get a palindrome (224586685422).

The spelling of 223465121100 in words is "two hundred twenty-three billion, four hundred sixty-five million, one hundred twenty-one thousand, one hundred".