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2150235200 = 26522395623
BaseRepresentation
bin1000000000101001…
…1111110001000000
312112212001021011202
42000022133301000
513400430011300
6553211000332
7104166461201
oct20012376100
95485037152
102150235200
11a0382a593
125001390a8
13283629329
141658055a8
15c8b8bad5
hex8029fc40

2150235200 has 84 divisors (see below), whose sum is σ = 5314005120. Its totient is φ = 856343040.

The previous prime is 2150235169. The next prime is 2150235209. The reversal of 2150235200 is 25320512.

It is a super-2 number, since 2×21502352002 = 9247022830638080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2150235209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379589 + ... + 385211.

Almost surely, 22150235200 is an apocalyptic number.

2150235200 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 2150235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657002560).

2150235200 is an abundant number, since it is smaller than the sum of its proper divisors (3163769920).

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

2150235200 is a wasteful number, since it uses less digits than its factorization.

2150235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2150235200 is about 46370.6286349452. The cubic root of 2150235200 is about 1290.7099431300.

Adding to 2150235200 its reverse (25320512), we get a palindrome (2175555712).

The spelling of 2150235200 in words is "two billion, one hundred fifty million, two hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 239 320 400 478 800 956 1195 1600 1912 2390 3824 4780 5623 5975 7648 9560 11246 11950 15296 19120 22492 23900 28115 38240 44984 47800 56230 76480 89968 95600 112460 140575 179936 191200 224920 281150 359872 382400 449840 562300 899680 1124600 1343897 1799360 2249200 2687794 4498400 5375588 6719485 8996800 10751176 13438970 21502352 26877940 33597425 43004704 53755880 67194850 86009408 107511760 134389700 215023520 268779400 430047040 537558800 1075117600 2150235200