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226345680 = 243251128579
BaseRepresentation
bin11010111110111…
…00001011010000
3120202220112220100
431133130023100
5430421030210
634243212400
75415622641
oct1537341320
9522815810
10226345680
11106847950
1263977100
1337b7cb72
14220bd6c8
1514d105c0
hexd7dc2d0

226345680 has 120 divisors (see below), whose sum is σ = 829277280. Its totient is φ = 54869760.

The previous prime is 226345649. The next prime is 226345681. The reversal of 226345680 is 86543622.

It is a tau number, because it is divible by the number of its divisors (120).

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 (226345681) 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, 6370 + ... + 22209.

It is an arithmetic number, because the mean of its divisors is an integer number (6910644).

Almost surely, 2226345680 is an apocalyptic number.

226345680 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 226345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414638640).

226345680 is an abundant number, since it is smaller than the sum of its proper divisors (602931600).

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

226345680 is a wasteful number, since it uses less digits than its factorization.

226345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28609 (or 28600 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 226345680 is about 15044.7891311244. The cubic root of 226345680 is about 609.4303380120.

The spelling of 226345680 in words is "two hundred twenty-six million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 28579 57158 85737 114316 142895 171474 228632 257211 285790 314369 342948 428685 457264 514422 571580 628738 685896 857370 943107 1028844 1143160 1257476 1286055 1371792 1571845 1714740 1886214 2057688 2286320 2514952 2572110 2829321 3143690 3429480 3772428 4115376 4715535 5029904 5144220 5658642 6287380 6858960 7544856 9431070 10288440 11317284 12574760 14146605 15089712 18862140 20576880 22634568 25149520 28293210 37724280 45269136 56586420 75448560 113172840 226345680