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226667980 = 2257111031429
BaseRepresentation
bin11011000001010…
…10110111001100
3120210111221000101
431200222313030
5431011333410
634254140444
75421434410
oct1540526714
9523457011
10226667980
11106a48010
1263ab1724
1337c63786
1422164d40
1514d75d3a
hexd82adcc

226667980 has 96 divisors (see below), whose sum is σ = 599639040. Its totient is φ = 69914880.

The previous prime is 226667977. The next prime is 226667983. The reversal of 226667980 is 89766622.

It is a happy number.

226667980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226667977) and next prime (226667983).

It is a self number, because there is not a number n which added to its sum of digits gives 226667980.

It is not an unprimeable number, because it can be changed into a prime (226667983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157906 + ... + 159334.

It is an arithmetic number, because the mean of its divisors is an integer number (6246240).

Almost surely, 2226667980 is an apocalyptic number.

226667980 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 226667980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299819520).

226667980 is an abundant number, since it is smaller than the sum of its proper divisors (372971060).

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

226667980 is a wasteful number, since it uses less digits than its factorization.

226667980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 226667980 is about 15055.4966706516. The cubic root of 226667980 is about 609.7194625089.

The spelling of 226667980 in words is "two hundred twenty-six million, six hundred sixty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 103 110 140 154 206 220 308 385 412 515 721 770 1030 1133 1429 1442 1540 2060 2266 2858 2884 3605 4532 5665 5716 7145 7210 7931 10003 11330 14290 14420 15719 15862 20006 22660 28580 31438 31724 39655 40012 50015 62876 78595 79310 100030 110033 147187 157190 158620 200060 220066 294374 314380 440132 550165 588748 735935 1030309 1100330 1471870 1619057 2060618 2200660 2943740 3238114 4121236 5151545 6476228 8095285 10303090 11333399 16190570 20606180 22666798 32381140 45333596 56666995 113333990 226667980