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2112201400 = 2352891071109
BaseRepresentation
bin111110111100101…
…1010001010111000
312110012110221121111
41331321122022320
513311210421100
6545331450104
7103225262401
oct17571321270
95405427544
102112201400
119943121a1
124ab456934
132787a071a
141607449a8
15c56776ba
hex7de5a2b8

2112201400 has 96 divisors (see below), whose sum is σ = 5016978000. Its totient is φ = 826833920.

The previous prime is 2112201391. The next prime is 2112201419. The reversal of 2112201400 is 41022112.

It is a happy number.

It is a super-2 number, since 2×21122014002 = 8922789508323920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1904046 + ... + 1905154.

Almost surely, 22112201400 is an apocalyptic number.

2112201400 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 2112201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508489000).

2112201400 is an abundant number, since it is smaller than the sum of its proper divisors (2904776600).

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

2112201400 is a wasteful number, since it uses less digits than its factorization.

2112201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2112201400 is about 45958.6923225629. The cubic root of 2112201400 is about 1283.0545133671.

Adding to 2112201400 its reverse (41022112), we get a palindrome (2153223512).

The spelling of 2112201400 in words is "two billion, one hundred twelve million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 107 178 200 214 356 428 445 535 712 856 890 1070 1109 1780 2140 2218 2225 2675 3560 4280 4436 4450 5350 5545 8872 8900 9523 10700 11090 17800 19046 21400 22180 27725 38092 44360 47615 55450 76184 95230 98701 110900 118663 190460 197402 221800 237326 238075 380920 394804 474652 476150 493505 593315 789608 949304 952300 987010 1186630 1904600 1974020 2373260 2467525 2966575 3948040 4746520 4935050 5933150 9870100 10561007 11866300 19740200 21122014 23732600 42244028 52805035 84488056 105610070 211220140 264025175 422440280 528050350 1056100700 2112201400