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226271010 = 23572379593
BaseRepresentation
bin11010111110010…
…01111100100010
3120202202202110210
431133021330202
5430411133020
634241434550
75415162150
oct1537117442
9522682423
10226271010
111067a6839
126393ba56
1337b54b94
14220a03d0
1514ce83e0
hexd7c9f22

226271010 has 128 divisors (see below), whose sum is σ = 656916480. Its totient is φ = 48761856.

The previous prime is 226270999. The next prime is 226271041. The reversal of 226271010 is 10172622.

It is a super-3 number, since 3×2262710103 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381274 + ... + 381866.

It is an arithmetic number, because the mean of its divisors is an integer number (5132160).

Almost surely, 2226271010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226271010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328458240).

226271010 is an abundant number, since it is smaller than the sum of its proper divisors (430645470).

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

226271010 is a wasteful number, since it uses less digits than its factorization.

226271010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 226271010 is about 15042.3073363098. The cubic root of 226271010 is about 609.3633149107.

The spelling of 226271010 in words is "two hundred twenty-six million, two hundred seventy-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 79 105 115 138 158 161 210 230 237 322 345 395 474 483 553 593 690 790 805 966 1106 1185 1186 1610 1659 1779 1817 2370 2415 2765 2965 3318 3558 3634 4151 4830 5451 5530 5930 8295 8302 8895 9085 10902 12453 12719 13639 16590 17790 18170 20755 24906 25438 27255 27278 38157 40917 41510 46847 54510 62265 63595 68195 76314 81834 93694 95473 124530 127190 136390 140541 190785 190946 204585 234235 281082 286419 327929 381570 409170 468470 477365 572838 655858 702705 954730 983787 1077481 1405410 1432095 1639645 1967574 2154962 2864190 3232443 3279290 4918935 5387405 6464886 7542367 9837870 10774810 15084734 16162215 22627101 32324430 37711835 45254202 75423670 113135505 226271010