Search a number
-
+
2254530100 = 2252187312037
BaseRepresentation
bin1000011001100001…
…0110011000110100
312211010021222212211
42012120112120310
514104124430400
61011414223204
7106604122024
oct20630263064
95733258784
102254530100
11a57694919
1252b054b04
1329c1149a4
141755d3a84
15d2ddddba
hex86616634

2254530100 has 36 divisors (see below), whose sum is σ = 4895349004. Its totient is φ = 901255680.

The previous prime is 2254530097. The next prime is 2254530121. The reversal of 2254530100 is 10354522.

It can be written as a sum of positive squares in 6 ways, for example, as 1161037476 + 1093492624 = 34074^2 + 33068^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181282 + ... + 193318.

Almost surely, 22254530100 is an apocalyptic number.

2254530100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254530100 is an abundant number, since it is smaller than the sum of its proper divisors (2640818904).

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

2254530100 is a wasteful number, since it uses less digits than its factorization.

2254530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13924 (or 13917 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2254530100 is about 47481.8923380271. The cubic root of 2254530100 is about 1311.2495313071.

Adding to 2254530100 its reverse (10354522), we get a palindrome (2264884622).

The spelling of 2254530100 in words is "two billion, two hundred fifty-four million, five hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1873 3746 7492 9365 12037 18730 24074 37460 46825 48148 60185 93650 120370 187300 240740 300925 601850 1203700 22545301 45090602 90181204 112726505 225453010 450906020 563632525 1127265050 2254530100