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164224420 = 22517716803
BaseRepresentation
bin10011100100111…
…01110110100100
3102110000110112221
421302131312210
5314020140140
624143522124
74032612253
oct1162356644
9373013487
10164224420
1184778268
1246bb9344
132803c519
1417b4c79a
15e63e14a
hex9c9dda4

164224420 has 48 divisors (see below), whose sum is σ = 370355328. Its totient is φ = 60945920.

The previous prime is 164224399. The next prime is 164224433. The reversal of 164224420 is 24422461.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20739 + ... + 27541.

It is an arithmetic number, because the mean of its divisors is an integer number (7715736).

Almost surely, 2164224420 is an apocalyptic number.

164224420 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 164224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185177664).

164224420 is an abundant number, since it is smaller than the sum of its proper divisors (206130908).

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

164224420 is a wasteful number, since it uses less digits than its factorization.

164224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 164224420 is about 12815.0076082693. The cubic root of 164224420 is about 547.6199302197.

Adding to 164224420 its reverse (24422461), we get a palindrome (188646881).

It can be divided in two parts, 1642 and 24420, that added together give a palindrome (26062).

The spelling of 164224420 in words is "one hundred sixty-four million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 6035 6803 12070 13606 24140 27212 34015 68030 115651 136060 231302 462604 483013 578255 966026 1156510 1932052 2313020 2415065 4830130 8211221 9660260 16422442 32844884 41056105 82112210 164224420