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226088240 = 2457403729
BaseRepresentation
bin11010111100111…
…01010100110000
3120202102110202112
431132131110300
5430334310430
634233504452
75413501250
oct1536352460
9522373675
10226088240
11106691494
1263872128
1337abc931
1422053960
1514cae195
hexd79d530

226088240 has 40 divisors (see below), whose sum is σ = 600750240. Its totient is φ = 77515776.

The previous prime is 226088237. The next prime is 226088251. The reversal of 226088240 is 42880622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2260882402 = 102231784532595200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226088197 and 226088206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201305 + ... + 202424.

It is an arithmetic number, because the mean of its divisors is an integer number (15018756).

Almost surely, 2226088240 is an apocalyptic number.

226088240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226088240 is an abundant number, since it is smaller than the sum of its proper divisors (374662000).

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

226088240 is a wasteful number, since it uses less digits than its factorization.

226088240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403749 (or 403743 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 226088240 is about 15036.2309107037. The cubic root of 226088240 is about 609.1992000090.

The spelling of 226088240 in words is "two hundred twenty-six million, eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 403729 807458 1614916 2018645 2826103 3229832 4037290 5652206 6459664 8074580 11304412 14130515 16149160 22608824 28261030 32298320 45217648 56522060 113044120 226088240