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22770272500 = 225441222149
BaseRepresentation
bin10101001101001101…
…101100100011110100
32011202220021200200221
4111031031230203310
5333113142210000
614243245544124
71434161060053
oct251515544364
964686250627
1022770272500
119725252828
1244b5875044
1321bb5c6c31
1411601ac39a
158d408261a
hex54d36c8f4

22770272500 has 60 divisors (see below), whose sum is σ = 51008750100. Its totient is φ = 8885920000.

The previous prime is 22770272491. The next prime is 22770272507. The reversal of 22770272500 is 527207722.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 21954941584 + 815330916 = 148172^2 + 28554^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22770272507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8575 + ... + 213574.

It is an arithmetic number, because the mean of its divisors is an integer number (850145835).

Almost surely, 222770272500 is an apocalyptic number.

22770272500 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 22770272500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25504375050).

22770272500 is an abundant number, since it is smaller than the sum of its proper divisors (28238477600).

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

22770272500 is a wasteful number, since it uses less digits than its factorization.

22770272500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222214 (or 222197 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 34.

The spelling of 22770272500 in words is "twenty-two billion, seven hundred seventy million, two hundred seventy-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 625 820 1025 1250 2050 2500 4100 5125 10250 20500 25625 51250 102500 222149 444298 888596 1110745 2221490 4442980 5553725 9108109 11107450 18216218 22214900 27768625 36432436 45540545 55537250 91081090 111074500 138843125 182162180 227702725 277686250 455405450 555372500 910810900 1138513625 2277027250 4554054500 5692568125 11385136250 22770272500