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226354000 = 2453113177
BaseRepresentation
bin11010111110111…
…10001101010000
3120202220222022111
431133132031100
5430421312000
634243315104
75415656125
oct1537361520
9522828274
10226354000
11106853124
126397ba94
1337b838a2
14220c274c
1514d12cba
hexd7de350

226354000 has 40 divisors (see below), whose sum is σ = 547328808. Its totient is φ = 90540800.

The previous prime is 226353991. The next prime is 226354001. The reversal of 226354000 is 453622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61591104 + 164762896 = 7848^2 + 12836^2 .

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

It is a super-2 number, since 2×2263540002 = 102472266632000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226354001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54589 + ... + 58588.

Almost surely, 2226354000 is an apocalyptic number.

226354000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226354000 is an abundant number, since it is smaller than the sum of its proper divisors (320974808).

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

226354000 is a wasteful number, since it uses less digits than its factorization.

226354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113200 (or 113184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 226354000 is about 15045.0656362809. The cubic root of 226354000 is about 609.4378050543.

The spelling of 226354000 in words is "two hundred twenty-six million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 113177 226354 452708 565885 905416 1131770 1810832 2263540 2829425 4527080 5658850 9054160 11317700 14147125 22635400 28294250 45270800 56588500 113177000 226354000