Search a number
-
+
223105445254500 = 2235319101179433003
BaseRepresentation
bin110010101110100111001000…
…110011111101010101100100
31002020221200011002012202211120
4302232213020303331111210
5213220324422441121000
62110301120540533540
764664556626432544
oct6256471063752544
91066850132182746
10223105445254500
11650a7540554496
12210333b62512b0
1397649a3a68813
143d1450b081324
151abd74095c6a0
hexcae9c8cfd564

223105445254500 has 384 divisors, whose sum is σ = 694507932518400. Its totient is φ = 55493536320000.

The previous prime is 223105445254463. The next prime is 223105445254579. The reversal of 223105445254500 is 5452544501322.

It is a super-3 number, since 3×2231054452545003 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 515034999 + ... + 515468001.

It is an arithmetic number, because the mean of its divisors is an integer number (1808614407600).

Almost surely, 2223105445254500 is an apocalyptic number.

223105445254500 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 223105445254500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347253966259200).

223105445254500 is an abundant number, since it is smaller than the sum of its proper divisors (471402487263900).

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

223105445254500 is a wasteful number, since it uses less digits than its factorization.

223105445254500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433324 (or 433312 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

Adding to 223105445254500 its reverse (5452544501322), we get a palindrome (228557989755822).

The spelling of 223105445254500 in words is "two hundred twenty-three trillion, one hundred five billion, four hundred forty-five million, two hundred fifty-four thousand, five hundred".