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226357380 = 223251773973
BaseRepresentation
bin11010111110111…
…11000010000100
3120202221010221200
431133133002010
5430421414010
634243342500
75416002024
oct1537370204
9522833850
10226357380
11106855717
1263981a30
1337b852a2
14220c3a84
1514d13cc0
hexd7df084

226357380 has 72 divisors (see below), whose sum is σ = 727016472. Its totient is φ = 56810496.

The previous prime is 226357309. The next prime is 226357387. The reversal of 226357380 is 83753622.

226357380 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 573 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70157376 + 156200004 = 8376^2 + 12498^2 .

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 (226357387) 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, 33927 + ... + 40046.

It is an arithmetic number, because the mean of its divisors is an integer number (10097451).

Almost surely, 2226357380 is an apocalyptic number.

226357380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226357380 is an abundant number, since it is smaller than the sum of its proper divisors (500659092).

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

226357380 is a wasteful number, since it uses less digits than its factorization.

226357380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74005 (or 74000 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 226357380 is about 15045.1779650491. The cubic root of 226357380 is about 609.4408384880.

The spelling of 226357380 in words is "two hundred twenty-six million, three hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 73973 147946 221919 295892 369865 443838 665757 739730 887676 1109595 1257541 1331514 1479460 2219190 2515082 2663028 3328785 3772623 4438380 5030164 6287705 6657570 7545246 11317869 12575410 13315140 15090492 18863115 22635738 25150820 37726230 45271476 56589345 75452460 113178690 226357380