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23434133000 = 235397241589
BaseRepresentation
bin10101110100110010…
…000111111000001000
32020111011110022002212
4111310302013320020
5340443114224000
614433202444252
71456501562315
oct256462077010
966434408085
1023434133000
119a35a58a73
124660063688
132295cc19b5
1411c4419d0c
159224b6c35
hex574c87e08

23434133000 has 64 divisors (see below), whose sum is σ = 55401418800. Its totient is φ = 9276979200.

The previous prime is 23434132951. The next prime is 23434133003. The reversal of 23434133000 is 33143432.

It can be written as a sum of positive squares in 8 ways, for example, as 207763396 + 23226369604 = 14414^2 + 152402^2 .

It is not an unprimeable number, because it can be changed into a prime (23434133003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23795 + ... + 217794.

Almost surely, 223434133000 is an apocalyptic number.

23434133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23434133000 is an abundant number, since it is smaller than the sum of its proper divisors (31967285800).

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

23434133000 is a wasteful number, since it uses less digits than its factorization.

23434133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241707 (or 241693 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 23434133000 its reverse (33143432), we get a palindrome (23467276432).

The spelling of 23434133000 in words is "twenty-three billion, four hundred thirty-four million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3880 4850 9700 12125 19400 24250 48500 97000 241589 483178 966356 1207945 1932712 2415890 4831780 6039725 9663560 12079450 23434133 24158900 30198625 46868266 48317800 60397250 93736532 117170665 120794500 187473064 234341330 241589000 468682660 585853325 937365320 1171706650 2343413300 2929266625 4686826600 5858533250 11717066500 23434133000