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221152014 = 232174715377
BaseRepresentation
bin11010010111010…
…00001100001110
3120102010200112100
431023220030032
5423103331024
633540015530
75323522026
oct1513501416
9512120470
10221152014
1110391a866
12620915a6
1336a81ba5
142152aa86
15146367c9
hexd2e830e

221152014 has 48 divisors (see below), whose sum is σ = 518177088. Its totient is φ = 67900416.

The previous prime is 221152013. The next prime is 221152027. The reversal of 221152014 is 410251122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221152013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6694 + ... + 22070.

It is an arithmetic number, because the mean of its divisors is an integer number (10795356).

Almost surely, 2221152014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221152014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259088544).

221152014 is an abundant number, since it is smaller than the sum of its proper divisors (297025074).

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

221152014 is a wasteful number, since it uses less digits than its factorization.

221152014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15449 (or 15446 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 221152014 is about 14871.1806525239. The cubic root of 221152014 is about 604.7329504647.

The spelling of 221152014 in words is "two hundred twenty-one million, one hundred fifty-two thousand, fourteen".