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226766880 = 25325157477
BaseRepresentation
bin11011000010000…
…11000000100000
3120210200221200100
431201003000200
5431023020010
634300222400
75422325634
oct1541030040
9523627610
10226766880
1110700534a
1263b3aa00
1337c997b2
142218cdc4
1514d952c0
hexd843020

226766880 has 72 divisors (see below), whose sum is σ = 773846892. Its totient is φ = 60470784.

The previous prime is 226766879. The next prime is 226766923. The reversal of 226766880 is 88667622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 226081296 + 685584 = 15036^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77299 + ... + 80178.

Almost surely, 2226766880 is an apocalyptic number.

226766880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226766880 is an abundant number, since it is smaller than the sum of its proper divisors (547080012).

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

226766880 is a wasteful number, since it uses less digits than its factorization.

226766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157498 (or 157487 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 226766880 is about 15058.7808271453. The cubic root of 226766880 is about 609.8081274169.

The spelling of 226766880 in words is "two hundred twenty-six million, seven hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 157477 314954 472431 629908 787385 944862 1259816 1417293 1574770 1889724 2362155 2519632 2834586 3149540 3779448 4724310 5039264 5669172 6299080 7086465 7558896 9448620 11338344 12598160 14172930 15117792 18897240 22676688 25196320 28345860 37794480 45353376 56691720 75588960 113383440 226766880