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2202112 = 29111723
BaseRepresentation
bin1000011001101000000000
311010212201201
420121220000
51030431422
6115110544
724501103
oct10315000
94125651
102202112
111274530
128a2454
135c1433
1441473a
152d7727
hex219a00

2202112 has 80 divisors (see below), whose sum is σ = 5303232. Its totient is φ = 901120.

The previous prime is 2202077. The next prime is 2202121. The reversal of 2202112 is 2112022.

2202112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95733 + ... + 95755.

22202112 is an apocalyptic number.

2202112 is a gapful number since it is divisible by the number (22) 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 2202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616).

2202112 is an abundant number, since it is smaller than the sum of its proper divisors (3101120).

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

2202112 is a wasteful number, since it uses less digits than its factorization.

2202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2202112 is about 1483.9514816866. The cubic root of 2202112 is about 130.1007503005.

Adding to 2202112 its reverse (2112022), we get a palindrome (4314134).

It can be divided in two parts, 220 and 2112, that added together give a palindrome (2332).

The spelling of 2202112 in words is "two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 128 136 176 184 187 253 256 272 352 368 374 391 506 512 544 704 736 748 782 1012 1088 1408 1472 1496 1564 2024 2176 2816 2944 2992 3128 4048 4301 4352 5632 5888 5984 6256 8096 8602 8704 11776 11968 12512 16192 17204 23936 25024 32384 34408 47872 50048 64768 68816 95744 100096 129536 137632 200192 275264 550528 1101056 2202112