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10722112 = 262953109
BaseRepresentation
bin101000111001…
…101101000000
3202011201222021
4220321231000
510221101422
61021451224
7160064542
oct50715500
922151867
1010722112
116063755
123710b14
1322b545b
1415d1692
15e1bdc7
hexa39b40

10722112 has 56 divisors (see below), whose sum is σ = 22631400. Its totient is φ = 5031936.

The previous prime is 10722109. The next prime is 10722133. The reversal of 10722112 is 21122701.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 7096896 = 1904^2 + 2664^2 .

It is a super-2 number, since 2×107221122 = 229927371481088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 98314 + ... + 98422.

Almost surely, 210722112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10722112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315700).

10722112 is an abundant number, since it is smaller than the sum of its proper divisors (11909288).

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

10722112 is a wasteful number, since it uses less digits than its factorization.

10722112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 10722112 is about 3274.4636201980. The cubic root of 10722112 is about 220.5092335916.

Adding to 10722112 its reverse (21122701), we get a palindrome (31844813).

The spelling of 10722112 in words is "ten million, seven hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 109 116 212 218 232 424 436 464 848 872 928 1537 1696 1744 1856 3074 3161 3392 3488 5777 6148 6322 6976 11554 12296 12644 23108 24592 25288 46216 49184 50576 92432 98368 101152 167533 184864 202304 335066 369728 670132 1340264 2680528 5361056 10722112