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2232120100 = 2252723138641
BaseRepresentation
bin1000010100001011…
…0111001100100100
312202120010110010211
42011002313030210
514032410320400
61005254025204
7106212464530
oct20502671444
95676113124
102232120100
11a45a78961
12523648204
13297599632
1417263cbc0
15d0e63dba
hex850b7324

2232120100 has 72 divisors (see below), whose sum is σ = 5776380288. Its totient is φ = 732019200.

The previous prime is 2232120083. The next prime is 2232120109. The reversal of 2232120100 is 10212322.

It is a super-3 number, since 3×22321201003 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232120109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53221 + ... + 85420.

It is an arithmetic number, because the mean of its divisors is an integer number (80227504).

Almost surely, 22232120100 is an apocalyptic number.

2232120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232120100 is an abundant number, since it is smaller than the sum of its proper divisors (3544260188).

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

2232120100 is a wasteful number, since it uses less digits than its factorization.

2232120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138685 (or 138678 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2232120100 is about 47245.3182865773. The cubic root of 2232120100 is about 1306.8904550701.

Adding to 2232120100 its reverse (10212322), we get a palindrome (2242332422).

The spelling of 2232120100 in words is "two billion, two hundred thirty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 138641 277282 554564 693205 970487 1386410 1940974 2772820 3188743 3466025 3881948 4852435 6377486 6932050 9704870 12754972 13864100 15943715 19409740 22321201 24262175 31887430 44642402 48524350 63774860 79718575 89284804 97048700 111606005 159437150 223212010 318874300 446424020 558030025 1116060050 2232120100