Search a number
-
+
223235320000 = 26547113599
BaseRepresentation
bin1100111111100111011…
…1001010100011000000
3210100012122122020102211
43033321313022203000
512124141220220000
6250315231351504
722061656624510
oct3177167124300
9710178566384
10223235320000
1186745578000
1237321082594
1318088080c34
14ab39d47840
155c182687ba
hex33f9dca8c0

223235320000 has 560 divisors, whose sum is σ = 697006886400. Its totient is φ = 69463680000.

The previous prime is 223235319997. The next prime is 223235320003. The reversal of 223235320000 is 23532322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223235319997) and next prime (223235320003).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×2232353200003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (223235320003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 372679701 + ... + 372680299.

Almost surely, 2223235320000 is an apocalyptic number.

223235320000 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 223235320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348503443200).

223235320000 is an abundant number, since it is smaller than the sum of its proper divisors (473771566400).

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

223235320000 is an frugal number, since it uses more digits than its factorization.

223235320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

Adding to 223235320000 its reverse (23532322), we get a palindrome (223258852322).

The spelling of 223235320000 in words is "two hundred twenty-three billion, two hundred thirty-five million, three hundred twenty thousand".