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227420400 = 24352189517
BaseRepresentation
bin11011000111000…
…10100011110000
3120211221011010210
431203202203300
5431204423100
634322224120
75431020144
oct1543424360
9524834123
10227420400
11107411349
12641b5040
13381680ac
14222bd224
1514e73c50
hexd8e28f0

227420400 has 60 divisors (see below), whose sum is σ = 728507192. Its totient is φ = 60645120.

The previous prime is 227420393. The next prime is 227420429. The reversal of 227420400 is 4024722.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93559 + ... + 95958.

Almost surely, 2227420400 is an apocalyptic number.

227420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

227420400 is an abundant number, since it is smaller than the sum of its proper divisors (501086792).

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

227420400 is a wasteful number, since it uses less digits than its factorization.

227420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189538 (or 189527 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 227420400 is about 15080.4641838373. The cubic root of 227420400 is about 610.3933680622.

The spelling of 227420400 in words is "two hundred twenty-seven million, four hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 189517 379034 568551 758068 947585 1137102 1516136 1895170 2274204 2842755 3032272 3790340 4548408 4737925 5685510 7580680 9096816 9475850 11371020 14213775 15161360 18951700 22742040 28427550 37903400 45484080 56855100 75806800 113710200 227420400