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226206810 = 23353072729
BaseRepresentation
bin11010111101110…
…10010001011010
3120202122111102000
431132322101122
5430402104220
634240221430
75414504034
oct1536722132
9522574360
10226206810
11106762585
126390a876
1337b318ab
1422084c54
1514cd4390
hexd7ba45a

226206810 has 64 divisors (see below), whose sum is σ = 605404800. Its totient is φ = 60103296.

The previous prime is 226206797. The next prime is 226206823. The reversal of 226206810 is 18602622.

226206810 is a `hidden beast` number, since 22 + 620 + 6 + 8 + 10 = 666.

226206810 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226206797) and next prime (226206823).

It is a super-2 number, since 2×2262068102 = 102339041780752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81526 + ... + 84254.

It is an arithmetic number, because the mean of its divisors is an integer number (9459450).

Almost surely, 2226206810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226206810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302702400).

226206810 is an abundant number, since it is smaller than the sum of its proper divisors (379197990).

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

226206810 is a wasteful number, since it uses less digits than its factorization.

226206810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 226206810 is about 15040.1732037899. The cubic root of 226206810 is about 609.3056777947.

The spelling of 226206810 in words is "two hundred twenty-six million, two hundred six thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 307 614 921 1535 1842 2729 2763 3070 4605 5458 5526 8187 8289 9210 13645 13815 16374 16578 24561 27290 27630 40935 41445 49122 73683 81870 82890 122805 147366 245610 368415 736830 837803 1675606 2513409 4189015 5026818 7540227 8378030 12567045 15080454 22620681 25134090 37701135 45241362 75402270 113103405 226206810