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2253040100 = 225223396697
BaseRepresentation
bin1000011001001010…
…1010100111100100
312211000111021222122
42012102222213210
514103234240400
61011322245112
7106555345013
oct20622524744
95730437878
102253040100
11a56867413
1252a656798
1329ba1272c
14175326a7a
15d2be7685
hex864aa9e4

2253040100 has 36 divisors (see below), whose sum is σ = 4910131044. Its totient is φ = 897338880.

The previous prime is 2253040093. The next prime is 2253040109. The reversal of 2253040100 is 10403522.

It can be written as a sum of positive squares in 6 ways, for example, as 397842916 + 1855197184 = 19946^2 + 43072^2 .

It is not an unprimeable number, because it can be changed into a prime (2253040109) 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, 25049 + ... + 71648.

It is an arithmetic number, because the mean of its divisors is an integer number (136392529).

Almost surely, 22253040100 is an apocalyptic number.

2253040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253040100 is an abundant number, since it is smaller than the sum of its proper divisors (2657090944).

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

2253040100 is a wasteful number, since it uses less digits than its factorization.

2253040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96944 (or 96937 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2253040100 is about 47466.1995529450. The cubic root of 2253040100 is about 1310.9606030483.

Adding to 2253040100 its reverse (10403522), we get a palindrome (2263443622).

The spelling of 2253040100 in words is "two billion, two hundred fifty-three million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 2330 4660 5825 11650 23300 96697 193394 386788 483485 966970 1933940 2417425 4834850 9669700 22530401 45060802 90121604 112652005 225304010 450608020 563260025 1126520050 2253040100