193223040 has 128 divisors (see below), whose sum is σ = 620788320. Its totient is φ = 51118080.

The previous prime is 193222979. The next prime is 193223047. The reversal of 193223040 is 40322391.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 193223040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193223047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301120 + ... + 301760.

Almost surely, 2^193223040 is an apocalyptic number.

193223040 is a gapful number since it is divisible by the number (10) 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 193223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310394160).

193223040 is an abundant number, since it is smaller than the sum of its proper divisors (427565280).

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

193223040 is a wasteful number, since it uses less digits than its factorization.

193223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 193223040 is about 13900.4690568340. The cubic root of 193223040 is about 578.1221869452.

The spelling of 193223040 in words is "one hundred ninety-three million, two hundred twenty-three thousand, forty".