211020348 has 192 divisors, whose sum is σ = 650280960. Its totient is φ = 51667200.

The previous prime is 211020347. The next prime is 211020349. The reversal of 211020348 is 843020112.

It is an interprime number because it is at equal distance from previous prime (211020347) and next prime (211020349).

It is a super-2 number, since 2×211020348² = 89059174540082208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1518063 + ... + 1518201.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^211020348 is an apocalyptic number.

211020348 is a gapful number since it is divisible by the number (28) 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 211020348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

211020348 is an abundant number, since it is smaller than the sum of its proper divisors (439260612).

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

211020348 is a wasteful number, since it uses less digits than its factorization.

211020348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 211020348 is about 14526.5394364935. The cubic root of 211020348 is about 595.3533179182.

The spelling of 211020348 in words is "two hundred eleven million, twenty thousand, three hundred forty-eight".