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226234350 = 233521031627
BaseRepresentation
bin11010111110000…
…00111111101110
3120202200220012000
431133000333232
5430403444400
634240553130
75414650236
oct1537007756
9522626160
10226234350
11106781241
12639227a6
1337b412a4
1422090cc6
1514cdc600
hexd7c0fee

226234350 has 96 divisors (see below), whose sum is σ = 629840640. Its totient is φ = 59706720.

The previous prime is 226234291. The next prime is 226234381. The reversal of 226234350 is 53432622.

226234350 is a `hidden beast` number, since 2 + 2 + 623 + 4 + 35 + 0 = 666.

It is a super-2 number, since 2×2262343502 = 102363962239845000, which contains 22 as substring.

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

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, 138237 + ... + 139863.

It is an arithmetic number, because the mean of its divisors is an integer number (6560840).

Almost surely, 2226234350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226234350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314920320).

226234350 is an abundant number, since it is smaller than the sum of its proper divisors (403606290).

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

226234350 is a wasteful number, since it uses less digits than its factorization.

226234350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 226234350 is about 15041.0887238923. The cubic root of 226234350 is about 609.3304038370.

Adding to 226234350 its reverse (53432622), we get a palindrome (279666972).

The spelling of 226234350 in words is "two hundred twenty-six million, two hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 103 135 150 206 225 270 309 450 515 618 675 927 1030 1350 1545 1627 1854 2575 2781 3090 3254 4635 4881 5150 5562 7725 8135 9270 9762 13905 14643 15450 16270 23175 24405 27810 29286 40675 43929 46350 48810 69525 73215 81350 87858 122025 139050 146430 167581 219645 244050 335162 366075 439290 502743 732150 837905 1005486 1098225 1508229 1675810 2196450 2513715 3016458 4189525 4524687 5027430 7541145 8379050 9049374 12568575 15082290 22623435 25137150 37705725 45246870 75411450 113117175 226234350