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226020240 = 24335104639
BaseRepresentation
bin11010111100011…
…00101110010000
3120202022000111000
431132030232100
5430330121430
634232222000
75413066065
oct1536145620
9522260430
10226020240
11106645396
126383a900
1337a979b4
1422036c6c
1514c98e60
hexd78cb90

226020240 has 80 divisors (see below), whose sum is σ = 778521600. Its totient is φ = 60271488.

The previous prime is 226020239. The next prime is 226020251. The reversal of 226020240 is 42020622.

It is a happy number.

226020240 is a `hidden beast` number, since 22 + 602 + 0 + 2 + 40 = 666.

226020240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50160 + ... + 54479.

It is an arithmetic number, because the mean of its divisors is an integer number (9731520).

Almost surely, 2226020240 is an apocalyptic number.

226020240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226020240 is an abundant number, since it is smaller than the sum of its proper divisors (552501360).

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

226020240 is a wasteful number, since it uses less digits than its factorization.

226020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104661 (or 104649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 226020240 is about 15033.9695356882. The cubic root of 226020240 is about 609.1381181065.

Adding to 226020240 its reverse (42020622), we get a palindrome (268040862).

It can be divided in two parts, 2260 and 20240, that added together give a square (22500 = 1502).

The spelling of 226020240 in words is "two hundred twenty-six million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 104639 209278 313917 418556 523195 627834 837112 941751 1046390 1255668 1569585 1674224 1883502 2092780 2511336 2825253 3139170 3767004 4185560 4708755 5022672 5650506 6278340 7534008 8371120 9417510 11301012 12556680 14126265 15068016 18835020 22602024 25113360 28252530 37670040 45204048 56505060 75340080 113010120 226020240