223107103377040 has 160 divisors (see below), whose sum is σ = 556314783575040. Its totient is φ = 83014341476352.

The previous prime is 223107103377029. The next prime is 223107103377047. The reversal of 223107103377040 is 40773301701322.

It is a super-3 number, since 3×223107103377040³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 223107103376984 and 223107103377002.

It is not an unprimeable number, because it can be changed into a prime (223107103377047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5361216 + ... + 21793504.

It is an arithmetic number, because the mean of its divisors is an integer number (3476967397344).

Almost surely, 2^{223107103377040} is an apocalyptic number.

223107103377040 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 223107103377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278157391787520).

223107103377040 is an abundant number, since it is smaller than the sum of its proper divisors (333207680198000).

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

223107103377040 is a wasteful number, since it uses less digits than its factorization.

223107103377040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16432529 (or 16432523 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The spelling of 223107103377040 in words is "two hundred twenty-three trillion, one hundred seven billion, one hundred three million, three hundred seventy-seven thousand, forty".