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2120231200 = 25524615749
BaseRepresentation
bin111111001100000…
…0010100100100000
312110202120220102111
41332120002210200
513320234344300
6550215525104
7103353445033
oct17630024440
95422526374
102120231200
119988a709a
124b2089794
1327a352599
1416183501a
15c62119ba
hex7e602920

2120231200 has 72 divisors (see below), whose sum is σ = 5188144500. Its totient is φ = 846105600.

The previous prime is 2120231171. The next prime is 2120231203. The reversal of 2120231200 is 21320212.

It can be written as a sum of positive squares in 6 ways, for example, as 104939536 + 2015291664 = 10244^2 + 44892^2 .

It is not an unprimeable number, because it can be changed into a prime (2120231203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365926 + ... + 371674.

Almost surely, 22120231200 is an apocalyptic number.

2120231200 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 2120231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594072250).

2120231200 is an abundant number, since it is smaller than the sum of its proper divisors (3067913300).

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

2120231200 is a wasteful number, since it uses less digits than its factorization.

2120231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6217 counting only the distinct ones).

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

The square root of 2120231200 is about 46045.9683360009. The cubic root of 2120231200 is about 1284.6783552035.

Adding to 2120231200 its reverse (21320212), we get a palindrome (2141551412).

The spelling of 2120231200 in words is "two billion, one hundred twenty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 461 800 922 1844 2305 3688 4610 5749 7376 9220 11498 11525 14752 18440 22996 23050 28745 36880 45992 46100 57490 73760 91984 92200 114980 143725 183968 184400 229960 287450 368800 459920 574900 919840 1149800 2299600 2650289 4599200 5300578 10601156 13251445 21202312 26502890 42404624 53005780 66257225 84809248 106011560 132514450 212023120 265028900 424046240 530057800 1060115600 2120231200