Search a number
-
+
223200120000 = 26354111313007
BaseRepresentation
bin1100111111011111000…
…0111000110011000000
3210100010012101220010010
43033313300320303000
512124103212320000
6250311533104520
722061051500554
oct3176760706300
9710105356103
10223200120000
11867277157a0
1237311328140
13180809a8130
14ab353c3864
155c15113d50
hex33f7c38cc0

223200120000 has 560 divisors, whose sum is σ = 867030861312. Its totient is φ = 49943040000.

The previous prime is 223200119983. The next prime is 223200120023. The reversal of 223200120000 is 21002322.

It is a super-3 number, since 3×2232001200003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17153497 + ... + 17166503.

Almost surely, 2223200120000 is an apocalyptic number.

223200120000 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 223200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433515430656).

223200120000 is an abundant number, since it is smaller than the sum of its proper divisors (643830741312).

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

223200120000 is a wasteful number, since it uses less digits than its factorization.

223200120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13066 (or 13041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 223200120000 its reverse (21002322), we get a palindrome (223221122322).

The spelling of 223200120000 in words is "two hundred twenty-three billion, two hundred million, one hundred twenty thousand".