514222838100 has 720 divisors, whose sum is σ = 1866154308480. Its totient is φ = 121871692800.

The previous prime is 514222838093. The next prime is 514222838137. The reversal of 514222838100 is 1838222415.

It is a happy number.

514222838100 is a `hidden beast` number, since 51 + 4 + 2 + 228 + 381 + 0 + 0 = 666.

It is a super-2 number, since 2×514222838100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 187602730 + ... + 187605470.

It is an arithmetic number, because the mean of its divisors is an integer number (2591880984).

Almost surely, 2^514222838100 is an apocalyptic number.

514222838100 is a gapful number since it is divisible by the number (50) 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 514222838100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933077154240).

514222838100 is an abundant number, since it is smaller than the sum of its proper divisors (1351931470380).

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

514222838100 is a wasteful number, since it uses less digits than its factorization.

514222838100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 514222838100 in words is "five hundred fourteen billion, two hundred twenty-two million, eight hundred thirty-eight thousand, one hundred".