Search a number
-
+
22790799360 = 220335723
BaseRepresentation
bin10101001110011100…
…000000000000000000
32011211022220120021000
4111032130000000000
5333133421034420
614245301532000
71434530412120
oct251634000000
964738816230
1022790799360
1197358a297a
124500714000
1321c29330c4
141162bd2c80
158d5c89690
hex54e700000

22790799360 has 672 divisors, whose sum is σ = 96636718080. Its totient is φ = 4982833152.

The previous prime is 22790799347. The next prime is 22790799377. The reversal of 22790799360 is 6399709722.

22790799360 is a `hidden beast` number, since 2 + 279 + 0 + 7 + 9 + 9 + 360 = 666.

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

It is a super-3 number, since 3×227907993603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22790799297 and 22790799306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990904309 + ... + 990904331.

It is an arithmetic number, because the mean of its divisors is an integer number (143804640).

Almost surely, 222790799360 is an apocalyptic number.

22790799360 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 22790799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48318359040).

22790799360 is an abundant number, since it is smaller than the sum of its proper divisors (73845918720).

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

22790799360 is an frugal number, since it uses more digits than its factorization.

22790799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 22790799360 in words is "twenty-two billion, seven hundred ninety million, seven hundred ninety-nine thousand, three hundred sixty".