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21225348 = 22331491319
BaseRepresentation
bin101000011110…
…1111110000100
31110221100201000
41100331332010
520413202343
62034533300
7345261324
oct120757604
943840630
1021225348
1110a87a11
127137230
1345220a1
142b67284
151ce3ed3
hex143df84

21225348 has 48 divisors (see below), whose sum is σ = 55440000. Its totient is φ = 7022304.

The previous prime is 21225329. The next prime is 21225349. The reversal of 21225348 is 84352212.

21225348 is a `hidden beast` number, since 2 + 122 + 534 + 8 = 666.

It is a super-2 number, since 2×212253482 = 901030795442208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21225349) 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 15 ways as a sum of consecutive naturals, for example, 15433 + ... + 16751.

It is an arithmetic number, because the mean of its divisors is an integer number (1155000).

Almost surely, 221225348 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 21225348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27720000).

21225348 is an abundant number, since it is smaller than the sum of its proper divisors (34214652).

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

21225348 is a wasteful number, since it uses less digits than its factorization.

21225348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1473 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 21225348 is about 4607.0975678837. The cubic root of 21225348 is about 276.8757626430.

The spelling of 21225348 in words is "twenty-one million, two hundred twenty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1319 1341 1788 2638 2682 3957 4023 5276 5364 7914 8046 11871 15828 16092 23742 35613 47484 71226 142452 196531 393062 589593 786124 1179186 1768779 2358372 3537558 5306337 7075116 10612674 21225348