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2141225200 = 245227119753
BaseRepresentation
bin111111110100000…
…1000000011110000
312112020002111210001
41333220020003300
513341123201300
6552245515344
7104030054032
oct17750100360
95466074701
102141225200
119a9736204
124b9112b54
132817c327a
1416453bc52
15c7eac16a
hex7fa080f0

2141225200 has 60 divisors (see below), whose sum is σ = 5163537568. Its totient is φ = 853286400.

The previous prime is 2141225153. The next prime is 2141225209. The reversal of 2141225200 is 25221412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141225209) 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, 98524 + ... + 118276.

Almost surely, 22141225200 is an apocalyptic number.

2141225200 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 2141225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581768784).

2141225200 is an abundant number, since it is smaller than the sum of its proper divisors (3022312368).

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

2141225200 is a wasteful number, since it uses less digits than its factorization.

2141225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20042 (or 20031 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2141225200 is about 46273.3746337999. The cubic root of 2141225200 is about 1288.9046247033.

Adding to 2141225200 its reverse (25221412), we get a palindrome (2166446612).

The spelling of 2141225200 in words is "two billion, one hundred forty-one million, two hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 271 400 542 1084 1355 2168 2710 4336 5420 6775 10840 13550 19753 21680 27100 39506 54200 79012 98765 108400 158024 197530 316048 395060 493825 790120 987650 1580240 1975300 3950600 5353063 7901200 10706126 21412252 26765315 42824504 53530630 85649008 107061260 133826575 214122520 267653150 428245040 535306300 1070612600 2141225200