47813220 has 288 divisors, whose sum is σ = 187689600. Its totient is φ = 10015488.

The previous prime is 47813201. The next prime is 47813239. The reversal of 47813220 is 2231874.

It is an interprime number because it is at equal distance from previous prime (47813201) and next prime (47813239).

It is a super-2 number, since 2×47813220² = 4572208013536800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343911 + ... + 344049.

It is an arithmetic number, because the mean of its divisors is an integer number (651700).

Almost surely, 2^47813220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47813220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93844800).

47813220 is an abundant number, since it is smaller than the sum of its proper divisors (139876380).

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

47813220 is a wasteful number, since it uses less digits than its factorization.

47813220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47813220 is about 6914.7104060835. The cubic root of 47813220 is about 362.9521144402.

It can be divided in two parts, 4781 and 3220, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 47813220 in words is "forty-seven million, eight hundred thirteen thousand, two hundred twenty".