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2263006131900 = 2235217343603201
BaseRepresentation
bin100000111011100101101…
…011010011011010111100
322000100012210021122221020
4200323211223103122330
5244034114032210100
64451335523104140
7322332254511513
oct40734553233274
98010183248836
102263006131900
117a280aa68478
12306704212050
13135529060ca7
147b75c78567a
153dceca5a5a0
hex20ee5ad36bc

2263006131900 has 72 divisors (see below), whose sum is σ = 6585478804464. Its totient is φ = 599980032000.

The previous prime is 2263006131889. The next prime is 2263006131901. The reversal of 2263006131900 is 91316003622.

It is a super-2 number, since 2×22630061319002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263006131901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21749701 + ... + 21853500.

Almost surely, 22263006131900 is an apocalyptic number.

2263006131900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263006131900 is an abundant number, since it is smaller than the sum of its proper divisors (4322472672564).

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

2263006131900 is a wasteful number, since it uses less digits than its factorization.

2263006131900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43603391 (or 43603384 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 2263006131900 in words is "two trillion, two hundred sixty-three billion, six million, one hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12975 17300 25950 51900 43603201 87206402 130809603 174412804 218016005 261619206 436032010 523238412 654048015 872064020 1090080025 1308096030 2180160050 2616192060 3270240075 4360320100 6540480150 7543353773 13080960300 15086707546 22630061319 30173415092 37716768865 45260122638 75433537730 90520245276 113150306595 150867075460 188583844325 226300613190 377167688650 452601226380 565751532975 754335377300 1131503065950 2263006131900