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21214688 = 251125479
BaseRepresentation
bin101000011101…
…1010111100000
31110220211002012
41100323113200
520412332223
62034412052
7345215255
oct120732740
943824065
1021214688
1110a7aa00
127131028
13451a291
142b6342c
151ce0c78
hex143b5e0

21214688 has 36 divisors (see below), whose sum is σ = 45916920. Its totient is φ = 9641280.

The previous prime is 21214673. The next prime is 21214703. The reversal of 21214688 is 88641212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21214673) and next prime (21214703).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1133 + ... + 6611.

It is an arithmetic number, because the mean of its divisors is an integer number (1275470).

Almost surely, 221214688 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 21214688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958460).

21214688 is an abundant number, since it is smaller than the sum of its proper divisors (24702232).

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

21214688 is a wasteful number, since it uses less digits than its factorization.

21214688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5492 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 21214688 is about 4605.9405119910. The cubic root of 21214688 is about 276.8294031380.

The spelling of 21214688 in words is "twenty-one million, two hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 5479 10958 21916 43832 60269 87664 120538 175328 241076 482152 662959 964304 1325918 1928608 2651836 5303672 10607344 21214688