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21226272 = 2531271741
BaseRepresentation
bin101000011111…
…0001100100000
31110221101222020
41100332030200
520413220042
62034541440
7345264114
oct120761440
943841866
1021226272
1110a88681
127137880
134522632
142b67744
151ce43ec
hex143e320

21226272 has 48 divisors (see below), whose sum is σ = 56189952. Its totient is φ = 7015680.

The previous prime is 21226241. The next prime is 21226277. The reversal of 21226272 is 27262212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21226277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11322 + ... + 13062.

It is an arithmetic number, because the mean of its divisors is an integer number (1170624).

Almost surely, 221226272 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 21226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28094976).

21226272 is an abundant number, since it is smaller than the sum of its proper divisors (34963680).

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

21226272 is a wasteful number, since it uses less digits than its factorization.

21226272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1873 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 21226272 is about 4607.1978468479. The cubic root of 21226272 is about 276.8797803155.

Adding to 21226272 its reverse (27262212), we get a palindrome (48488484).

The spelling of 21226272 in words is "twenty-one million, two hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 1741 2032 3048 3482 4064 5223 6096 6964 10446 12192 13928 20892 27856 41784 55712 83568 167136 221107 442214 663321 884428 1326642 1768856 2653284 3537712 5306568 7075424 10613136 21226272