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2226046606440 = 233571399259813
BaseRepresentation
bin100000011001001010101…
…101111001110001101000
321212210211000102020101220
4200121022231321301220
5242432420412401230
64422344240142040
7316553336646126
oct40311255716150
97783730366356
102226046606440
11789074304a08
122bb50a607920
13131bb8b947b7
1479a53d18916
153cd87e5ed10
hex2064ab79c68

2226046606440 has 64 divisors (see below), whose sum is σ = 6678259056000. Its totient is φ = 593601829632.

The previous prime is 2226046606387. The next prime is 2226046606529. The reversal of 2226046606440 is 446066406222.

It is a junction number, because it is equal to n+sod(n) for n = 2226046606392 and 2226046606401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8437974 + ... + 8697786.

It is an arithmetic number, because the mean of its divisors is an integer number (104347797750).

Almost surely, 22226046606440 is an apocalyptic number.

2226046606440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226046606440 is an abundant number, since it is smaller than the sum of its proper divisors (4452212449560).

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

2226046606440 is a wasteful number, since it uses less digits than its factorization.

2226046606440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331226 (or 331222 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 2226046606440 in words is "two trillion, two hundred twenty-six billion, forty-six million, six hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 71399 142798 214197 259813 285596 356995 428394 519626 571192 713990 779439 856788 1039252 1070985 1299065 1427980 1558878 1713576 2078504 2141970 2598130 2855960 3117756 3897195 4283940 5196260 6235512 7794390 8567880 10392520 15588780 31177560 18550388387 37100776774 55651165161 74201553548 92751941935 111302330322 148403107096 185503883870 222604660644 278255825805 371007767740 445209321288 556511651610 742015535480 1113023303220 2226046606440