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226207134 = 23317292293
BaseRepresentation
bin11010111101110…
…10010110011110
3120202122111212000
431132322112132
5430402112014
634240223130
75414505006
oct1536722636
9522574760
10226207134
1110676284a
126390aaa6
1337b31a9a
1422085006
1514cd4509
hexd7ba59e

226207134 has 96 divisors (see below), whose sum is σ = 553119840. Its totient is φ = 68285952.

The previous prime is 226207109. The next prime is 226207147. The reversal of 226207134 is 431702622.

226207134 is a `hidden beast` number, since 2 + 2 + 620 + 7 + 1 + 34 = 666.

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

226207134 is a modest number, since divided by 7134 gives 2262 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 226207098 and 226207107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771892 + ... + 772184.

It is an arithmetic number, because the mean of its divisors is an integer number (5761665).

Almost surely, 2226207134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226207134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276559920).

226207134 is an abundant number, since it is smaller than the sum of its proper divisors (326912706).

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

226207134 is a wasteful number, since it uses less digits than its factorization.

226207134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 226207134 is about 15040.1839749386. The cubic root of 226207134 is about 609.3059687010.

Adding to 226207134 its reverse (431702622), we get a palindrome (657909756).

The spelling of 226207134 in words is "two hundred twenty-six million, two hundred seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 261 293 306 459 493 522 586 783 841 879 918 986 1479 1566 1682 1758 2523 2637 2958 4437 4981 5046 5274 7569 7911 8497 8874 9962 13311 14297 14943 15138 15822 16994 22707 25491 26622 28594 29886 42891 44829 45414 50982 76473 85782 89658 128673 134487 144449 152946 229419 246413 257346 268974 288898 386019 433347 458838 492826 739239 772038 866694 1300041 1478478 2217717 2600082 3900123 4189021 4435434 6653151 7800246 8378042 12567063 13306302 25134126 37701189 75402378 113103567 226207134