Search a number
-
+
22272865900 = 22521934933589
BaseRepresentation
bin10100101111100100…
…001111011001101100
32010111020022211010021
4110233210033121230
5331103323202100
614122040451524
71415641144045
oct245744173154
963436284107
1022272865900
11949a4a789a
124397179ba4
13213c53c3bc
1411140cd8cc
158a557ca1a
hex52f90f66c

22272865900 has 72 divisors (see below), whose sum is σ = 51023210000. Its totient is φ = 8415809280.

The previous prime is 22272865897. The next prime is 22272865921. The reversal of 22272865900 is 956827222.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 646306 + ... + 679894.

Almost surely, 222272865900 is an apocalyptic number.

22272865900 is a gapful number since it is divisible by the number (20) 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 22272865900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25511605000).

22272865900 is an abundant number, since it is smaller than the sum of its proper divisors (28750344100).

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

22272865900 is a wasteful number, since it uses less digits than its factorization.

22272865900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33971 (or 33964 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 22272865900 in words is "twenty-two billion, two hundred seventy-two million, eight hundred sixty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 349 380 475 698 950 1396 1745 1900 3490 6631 6980 8725 13262 17450 26524 33155 33589 34900 66310 67178 132620 134356 165775 167945 331550 335890 638191 663100 671780 839725 1276382 1679450 2552764 3190955 3358900 6381910 11722561 12763820 15954775 23445122 31909550 46890244 58612805 63819100 117225610 222728659 234451220 293064025 445457318 586128050 890914636 1113643295 1172256100 2227286590 4454573180 5568216475 11136432950 22272865900