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10226556 = 2232714001
BaseRepresentation
bin100111000000…
…101101111100
3201020120012100
4213000231330
510104222211
61003105100
7152632014
oct47005574
921216170
1010226556
1158553aa
123512190
132170a22
141502c44
15d70156
hex9c0b7c

10226556 has 36 divisors (see below), whose sum is σ = 26221104. Its totient is φ = 3360000.

The previous prime is 10226551. The next prime is 10226591. The reversal of 10226556 is 65562201.

10226556 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 655 + 6 = 666.

10226556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×102265562 = 209164895242272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226551) 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, 556 + ... + 4556.

It is an arithmetic number, because the mean of its divisors is an integer number (728364).

Almost surely, 210226556 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 10226556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110552).

10226556 is an abundant number, since it is smaller than the sum of its proper divisors (15994548).

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

10226556 is a wasteful number, since it uses less digits than its factorization.

10226556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 10226556 is about 3197.8986850743. The cubic root of 10226556 is about 217.0583348162.

Adding to 10226556 its reverse (65562201), we get a palindrome (75788757).

The spelling of 10226556 in words is "ten million, two hundred twenty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 4001 8002 12003 16004 24006 36009 48012 72018 144036 284071 568142 852213 1136284 1704426 2556639 3408852 5113278 10226556