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2234130100 = 2252101221201
BaseRepresentation
bin1000010100101010…
…0001111010110100
312202200220120100021
42011022201322310
514033414130400
61005405054524
7106235535556
oct20512417264
95680816307
102234130100
11a47121014
12524257444
13297b21497
14172a034d6
15d120e71a
hex852a1eb4

2234130100 has 36 divisors (see below), whose sum is σ = 4896085068. Its totient is φ = 884800000.

The previous prime is 2234130079. The next prime is 2234130137. The reversal of 2234130100 is 10314322.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 127870864 + 2106259236 = 11308^2 + 45894^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100501 + ... + 120700.

It is an arithmetic number, because the mean of its divisors is an integer number (136002363).

Almost surely, 22234130100 is an apocalyptic number.

2234130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234130100 is an abundant number, since it is smaller than the sum of its proper divisors (2661954968).

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

2234130100 is a wasteful number, since it uses less digits than its factorization.

2234130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221316 (or 221309 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2234130100 is about 47266.5854489194. The cubic root of 2234130100 is about 1307.2826176193.

Adding to 2234130100 its reverse (10314322), we get a palindrome (2244444422).

It can be divided in two parts, 22341 and 30100, that added together give a square (52441 = 2292).

The spelling of 2234130100 in words is "two billion, two hundred thirty-four million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 221201 442402 884804 1106005 2212010 4424020 5530025 11060050 22120100 22341301 44682602 89365204 111706505 223413010 446826020 558532525 1117065050 2234130100