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226962700 = 225229611283
BaseRepresentation
bin11011000011100…
…10110100001100
3120211001220021221
431201302310030
5431100301300
634304333124
75424102556
oct1541626414
9524056257
10226962700
11107129488
12640141a4
1338037973
14222004d6
1514dd331a
hexd872d0c

226962700 has 72 divisors (see below), whose sum is σ = 518248080. Its totient is φ = 86150400.

The previous prime is 226962677. The next prime is 226962719. The reversal of 226962700 is 7269622.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 176259 + ... + 177541.

It is an arithmetic number, because the mean of its divisors is an integer number (7197890).

Almost surely, 2226962700 is an apocalyptic number.

226962700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226962700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259124040).

226962700 is an abundant number, since it is smaller than the sum of its proper divisors (291285380).

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

226962700 is a wasteful number, since it uses less digits than its factorization.

226962700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 226962700 is about 15065.2812784893. The cubic root of 226962700 is about 609.9836061168.

The spelling of 226962700 in words is "two hundred twenty-six million, nine hundred sixty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 61 100 116 122 145 244 290 305 580 610 725 1220 1283 1450 1525 1769 2566 2900 3050 3538 5132 6100 6415 7076 8845 12830 17690 25660 32075 35380 37207 44225 64150 74414 78263 88450 128300 148828 156526 176900 186035 313052 372070 391315 744140 782630 930175 1565260 1860350 1956575 2269627 3720700 3913150 4539254 7826300 9078508 11348135 22696270 45392540 56740675 113481350 226962700