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21172242 = 23713172281
BaseRepresentation
bin101000011000…
…1000000010010
31110211122212010
41100301000102
520410002432
62033443350
7344650440
oct120610022
943748763
1021172242
1110a51023
127110556
134503b70
142b51b90
151cd33cc
hex1431012

21172242 has 64 divisors (see below), whose sum is σ = 55206144. Its totient is φ = 5253120.

The previous prime is 21172241. The next prime is 21172243. The reversal of 21172242 is 24227112.

It is an interprime number because it is at equal distance from previous prime (21172241) and next prime (21172243).

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

It is not an unprimeable number, because it can be changed into a prime (21172241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142 + ... + 10422.

It is an arithmetic number, because the mean of its divisors is an integer number (862596).

Almost surely, 221172242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21172242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27603072).

21172242 is an abundant number, since it is smaller than the sum of its proper divisors (34033902).

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

21172242 is a wasteful number, since it uses less digits than its factorization.

21172242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323.

The product of its digits is 448, while the sum is 21.

The square root of 21172242 is about 4601.3304597692. The cubic root of 21172242 is about 276.6446546252.

Adding to 21172242 its reverse (24227112), we get a palindrome (45399354).

It can be divided in two parts, 211722 and 42, that multiplied together give a square (8892324 = 29822).

The spelling of 21172242 in words is "twenty-one million, one hundred seventy-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 2281 3094 4562 4641 6843 9282 13686 15967 29653 31934 38777 47901 59306 77554 88959 95802 116331 177918 207571 232662 271439 415142 504101 542878 622713 814317 1008202 1245426 1512303 1628634 3024606 3528707 7057414 10586121 21172242