Search a number
-
+
22274199360 = 26325729311229
BaseRepresentation
bin10100101111101001…
…010100111101000000
32010111022211120021200
4110233221110331000
5331104143334420
614122125221200
71415655366510
oct245751247500
963438746250
1022274199360
1194a0228726
124397701800
13213c8b832a
141114359840
158a5742b90
hex52fa54f40

22274199360 has 672 divisors, whose sum is σ = 93576038400. Its totient is φ = 4753244160.

The previous prime is 22274199179. The next prime is 22274199371. The reversal of 22274199360 is 6399147222.

22274199360 is a `hidden beast` number, since 2 + 2 + 274 + 19 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×222741993602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18123226 + ... + 18124454.

Almost surely, 222274199360 is an apocalyptic number.

22274199360 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 22274199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46788019200).

22274199360 is an abundant number, since it is smaller than the sum of its proper divisors (71301839040).

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

22274199360 is a wasteful number, since it uses less digits than its factorization.

22274199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 22274199360 in words is "twenty-two billion, two hundred seventy-four million, one hundred ninety-nine thousand, three hundred sixty".