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2254233100 = 225275360761
BaseRepresentation
bin1000011001011100…
…1101111000001100
312211002201220110211
42012113031320030
514104040424400
61011404012204
7106601444110
oct20627157014
95732656424
102254233100
11a57501769
1252ab31064
1329c03c752
14175557740
15d2d80dba
hex865cde0c

2254233100 has 72 divisors (see below), whose sum is σ = 5696072928. Its totient is φ = 758284800.

The previous prime is 2254233097. The next prime is 2254233127. The reversal of 2254233100 is 13324522.

It is a super-2 number, since 2×22542331002 = 10163133738271220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6720 + ... + 67480.

It is an arithmetic number, because the mean of its divisors is an integer number (79112124).

Almost surely, 22254233100 is an apocalyptic number.

2254233100 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 2254233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848036464).

2254233100 is an abundant number, since it is smaller than the sum of its proper divisors (3441839828).

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

2254233100 is a wasteful number, since it uses less digits than its factorization.

2254233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60835 (or 60828 counting only the distinct ones).

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

The square root of 2254233100 is about 47478.7647269808. The cubic root of 2254233100 is about 1311.1919497275.

Adding to 2254233100 its reverse (13324522), we get a palindrome (2267557622).

The spelling of 2254233100 in words is "two billion, two hundred fifty-four million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1325 1484 1855 2650 3710 5300 7420 9275 18550 37100 60761 121522 243044 303805 425327 607610 850654 1215220 1519025 1701308 2126635 3038050 3220333 4253270 6076100 6440666 8506540 10633175 12881332 16101665 21266350 22542331 32203330 42532700 45084662 64406660 80508325 90169324 112711655 161016650 225423310 322033300 450846620 563558275 1127116550 2254233100