Search a number
-
+
22669528320 = 2835572883
BaseRepresentation
bin10101000111001101…
…011000110100000000
32011111212201100200000
4111013031120310000
5332411344401240
614225250400000
71431525545205
oct250715306400
964455640600
1022669528320
1196833a317a
124487b90000
1321a37827aa
141150a65cac
158ca2d2430
hex547358d00

22669528320 has 216 divisors, whose sum is σ = 81340293216. Its totient is φ = 6045124608.

The previous prime is 22669528307. The next prime is 22669528333. The reversal of 22669528320 is 2382596622.

22669528320 is a `hidden beast` number, since 2 + 266 + 95 + 283 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (22669528307) and next prime (22669528333).

It is a tau number, because it is divible by the number of its divisors (216).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274599 + ... + 347481.

Almost surely, 222669528320 is an apocalyptic number.

22669528320 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 22669528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40670146608).

22669528320 is an abundant number, since it is smaller than the sum of its proper divisors (58670764896).

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

22669528320 is an frugal number, since it uses more digits than its factorization.

22669528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72919 (or 72893 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 22669528320 in words is "twenty-two billion, six hundred sixty-nine million, five hundred twenty-eight thousand, three hundred twenty".