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2230252600 = 235243125873
BaseRepresentation
bin1000010011101110…
…1111010000111000
312202102121120102011
42010323233100320
514031421040400
61005150015304
7106160556112
oct20473572070
95672546364
102230252600
11a44a12874
12522aa7534
132970945c4
141722b43b2
15d0be58ba
hex84eef438

2230252600 has 48 divisors (see below), whose sum is σ = 5197569120. Its totient is φ = 889996800.

The previous prime is 2230252529. The next prime is 2230252603. The reversal of 2230252600 is 62520322.

It is a happy number.

2230252600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230252603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73264 + ... + 99136.

It is an arithmetic number, because the mean of its divisors is an integer number (108282690).

Almost surely, 22230252600 is an apocalyptic number.

2230252600 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 2230252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598784560).

2230252600 is an abundant number, since it is smaller than the sum of its proper divisors (2967316520).

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

2230252600 is a wasteful number, since it uses less digits than its factorization.

2230252600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26320 (or 26311 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2230252600 is about 47225.5502879532. The cubic root of 2230252600 is about 1306.5258840526.

Adding to 2230252600 its reverse (62520322), we get a palindrome (2292772922).

It can be divided in two parts, 223025 and 2600, that added together give a square (225625 = 4752).

The spelling of 2230252600 in words is "two billion, two hundred thirty million, two hundred fifty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 431 862 1724 2155 3448 4310 8620 10775 17240 21550 25873 43100 51746 86200 103492 129365 206984 258730 517460 646825 1034920 1293650 2587300 5174600 11151263 22302526 44605052 55756315 89210104 111512630 223025260 278781575 446050520 557563150 1115126300 2230252600