42193200 has 120 divisors (see below), whose sum is σ = 154498048. Its totient is φ = 9642240.

The previous prime is 42193199. The next prime is 42193213. The reversal of 42193200 is 239124.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42193200² = 3560532252480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5889 + ... + 10911.

Almost surely, 2^42193200 is an apocalyptic number.

42193200 is a gapful number since it is divisible by the number (40) 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 42193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77249024).

42193200 is an abundant number, since it is smaller than the sum of its proper divisors (112304848).

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

42193200 is a wasteful number, since it uses less digits than its factorization.

42193200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42193200 is about 6495.6292997677. The cubic root of 42193200 is about 348.1348400705.

The spelling of 42193200 in words is "forty-two million, one hundred ninety-three thousand, two hundred".