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226614672 = 2434199203
BaseRepresentation
bin11011000000111…
…01110110010000
3120210102012220000
431200131312100
5431003132142
634253050000
75421123114
oct1540356620
9523365800
10226614672
11106a10a59
1263a86900
1337c4542b
142214d744
1514d6514c
hexd81dd90

226614672 has 100 divisors (see below), whose sum is σ = 690484080. Its totient is φ = 71554752.

The previous prime is 226614649. The next prime is 226614679. The reversal of 226614672 is 276416622.

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

It is not an unprimeable number, because it can be changed into a prime (226614679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20023 + ... + 29225.

Almost surely, 2226614672 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 226614672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345242040).

226614672 is an abundant number, since it is smaller than the sum of its proper divisors (463869408).

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

226614672 is a wasteful number, since it uses less digits than its factorization.

226614672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9227 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 226614672 is about 15053.7261832411. The cubic root of 226614672 is about 609.6716606191.

The spelling of 226614672 in words is "two hundred twenty-six million, six hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 6156 8208 9203 12312 18406 24624 27609 36812 55218 73624 82827 110436 147248 165654 174857 220872 248481 331308 349714 441744 496962 524571 662616 699428 745443 993924 1049142 1325232 1398856 1490886 1573713 1987848 2098284 2797712 2981772 3147426 3975696 4196568 4721139 5963544 6294852 8393136 9442278 11927088 12589704 14163417 18884556 25179408 28326834 37769112 56653668 75538224 113307336 226614672