13772220 has 144 divisors (see below), whose sum is σ = 48620544. Its totient is φ = 2851200.

The previous prime is 13772191. The next prime is 13772243. The reversal of 13772220 is 2227731.

13772220 = T₆₈₀ + T₆₈₁ + ... + T₇₃₄.

13772220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50685 + ... + 50955.

Almost surely, 2^13772220 is an apocalyptic number.

13772220 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 13772220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24310272).

13772220 is an abundant number, since it is smaller than the sum of its proper divisors (34848324).

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

13772220 is a wasteful number, since it uses less digits than its factorization.

13772220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13772220 is about 3711.0941782714. The cubic root of 13772220 is about 239.6999723093.

Adding to 13772220 its reverse (2227731), we get a palindrome (15999951).

The spelling of 13772220 in words is "thirteen million, seven hundred seventy-two thousand, two hundred twenty".