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22770000 = 2432541123
BaseRepresentation
bin101011011011…
…1000101010000
31120211211120100
41112313011100
521312120000
62132012400
7364353561
oct126670520
946754510
1022770000
1111942490
127761100
134943196
14304a168
151eeba00
hex15b7150

22770000 has 300 divisors, whose sum is σ = 90645984. Its totient is φ = 5280000.

The previous prime is 22769951. The next prime is 22770049. The reversal of 22770000 is 7722.

It is an interprime number because it is at equal distance from previous prime (22769951) and next prime (22770049).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 989989 + ... + 990011.

Almost surely, 222770000 is an apocalyptic number.

22770000 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 22770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45322992).

22770000 is an abundant number, since it is smaller than the sum of its proper divisors (67875984).

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

22770000 is a wasteful number, since it uses less digits than its factorization.

22770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 22770000 is about 4771.7921161761. The cubic root of 22770000 is about 283.4355648004.

Adding to 22770000 its reverse (7722), we get a palindrome (22777722).

The spelling of 22770000 in words is "twenty-two million, seven hundred seventy thousand".