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164225020 = 22531725903
BaseRepresentation
bin10011100100111…
…01111111111100
3102110000111101011
421302131333330
5314020200040
624143525004
74032614101
oct1162357774
9373014334
10164225020
1184778763
1246bb9764
132803c88b
1417b4caa8
15e63e3ea
hex9c9dffc

164225020 has 24 divisors (see below), whose sum is σ = 345973824. Its totient is φ = 65480256.

The previous prime is 164224997. The next prime is 164225023. The reversal of 164225020 is 20522461.

It is a junction number, because it is equal to n+sod(n) for n = 164224982 and 164225000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164225023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6612 + ... + 19291.

It is an arithmetic number, because the mean of its divisors is an integer number (14415576).

Almost surely, 2164225020 is an apocalyptic number.

164225020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164225020 is an abundant number, since it is smaller than the sum of its proper divisors (181748804).

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

164225020 is a wasteful number, since it uses less digits than its factorization.

164225020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26229 (or 26227 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 164225020 is about 12815.0310183003. The cubic root of 164225020 is about 547.6205971355.

Adding to 164225020 its reverse (20522461), we get a palindrome (184747481).

It can be divided in two parts, 1642 and 25020, that added together give a palindrome (26662).

The spelling of 164225020 in words is "one hundred sixty-four million, two hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 25903 51806 103612 129515 259030 518060 8211251 16422502 32845004 41056255 82112510 164225020