Search a number
-
+
223101034000 = 24531361163863
BaseRepresentation
bin1100111111000111011…
…0111001111000010000
3210022212021221210200021
43033301312321320100
512123402331042000
6250254033233224
722055436333235
oct3176166717020
9708767853607
10223101034000
1186686798a39
12372a4102814
13180662c4670
14ab2618d78c
155c0b59011a
hex33f1db9e10

223101034000 has 320 divisors, whose sum is σ = 594789931008. Its totient is φ = 80434944000.

The previous prime is 223101033979. The next prime is 223101034003. The reversal of 223101034000 is 430101322.

It is a happy number.

It is a super-3 number, since 3×2231010340003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (223101034003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258517569 + ... + 258518431.

Almost surely, 2223101034000 is an apocalyptic number.

223101034000 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 223101034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297394965504).

223101034000 is an abundant number, since it is smaller than the sum of its proper divisors (371688897008).

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

223101034000 is a wasteful number, since it uses less digits than its factorization.

223101034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 223101034000 its reverse (430101322), we get a palindrome (223531135322).

The spelling of 223101034000 in words is "two hundred twenty-three billion, one hundred one million, thirty-four thousand".