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226371168 = 253219411009
BaseRepresentation
bin11010111111000…
…10011001100000
3120202221211212100
431133202121200
5430422334133
634243530400
75416060152
oct1537423140
9522854770
10226371168
11106865011
1263989a00
1337b8b64a
14220c8ad2
1514d17e13
hexd7e2660

226371168 has 144 divisors (see below), whose sum is σ = 694839600. Its totient is φ = 69672960.

The previous prime is 226371163. The next prime is 226371169. The reversal of 226371168 is 861173622.

226371168 is a `hidden beast` number, since 2 + 2 + 637 + 1 + 16 + 8 = 666.

226371168 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226371163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223848 + ... + 224856.

It is an arithmetic number, because the mean of its divisors is an integer number (4825275).

Almost surely, 2226371168 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 226371168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347419800).

226371168 is an abundant number, since it is smaller than the sum of its proper divisors (468468432).

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

226371168 is a wasteful number, since it uses less digits than its factorization.

226371168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 226371168 is about 15045.6361779753. The cubic root of 226371168 is about 609.4532124305.

The spelling of 226371168 in words is "two hundred twenty-six million, three hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 456 492 608 656 684 738 779 912 984 1009 1312 1368 1476 1558 1824 1968 2018 2337 2736 2952 3027 3116 3936 4036 4674 5472 5904 6054 6232 7011 8072 9081 9348 11808 12108 12464 14022 16144 18162 18696 19171 24216 24928 28044 32288 36324 37392 38342 41369 48432 56088 57513 72648 74784 76684 82738 96864 112176 115026 124107 145296 153368 165476 172539 224352 230052 248214 290592 306736 330952 345078 372321 460104 496428 613472 661904 690156 744642 786011 920208 992856 1323808 1380312 1489284 1572022 1840416 1985712 2358033 2760624 2978568 3144044 3971424 4716066 5521248 5957136 6288088 7074099 9432132 11914272 12576176 14148198 18864264 25152352 28296396 37728528 56592792 75457056 113185584 226371168