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16220440 = 23531103127
BaseRepresentation
bin111101111000…
…000100011000
31010112002021001
4331320010120
513123023230
61335354344
7254604625
oct75700430
933462231
1016220440
119179725
1255229b4
13348bcc2
14222334c
1516560ca
hexf78118

16220440 has 64 divisors (see below), whose sum is σ = 38338560. Its totient is φ = 6168960.

The previous prime is 16220429. The next prime is 16220453. The reversal of 16220440 is 4402261.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127657 + ... + 127783.

It is an arithmetic number, because the mean of its divisors is an integer number (599040).

Almost surely, 216220440 is an apocalyptic number.

16220440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169280).

16220440 is an abundant number, since it is smaller than the sum of its proper divisors (22118120).

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

16220440 is a wasteful number, since it uses less digits than its factorization.

16220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 16220440 is about 4027.4607384803. The cubic root of 16220440 is about 253.1361731592.

It can be divided in two parts, 162 and 20440, that added together give a palindrome (20602).

The spelling of 16220440 in words is "sixteen million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 103 124 127 155 206 248 254 310 412 508 515 620 635 824 1016 1030 1240 1270 2060 2540 3193 3937 4120 5080 6386 7874 12772 13081 15748 15965 19685 25544 26162 31496 31930 39370 52324 63860 65405 78740 104648 127720 130810 157480 261620 405511 523240 811022 1622044 2027555 3244088 4055110 8110220 16220440