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2270268242046 = 232747383361743
BaseRepresentation
bin100001000010010110100…
…010000011100001111110
322001000221220020002020200
4201002112202003201332
5244144002132221141
64454540303224330
7323010235441350
oct41022642034176
98030856202220
102270268242046
117a58a72672a2
12307bb02a80a6
1313611575979c
147bc4b0510d0
153e0c539bab6
hex2109688387e

2270268242046 has 48 divisors (see below), whose sum is σ = 5741225478144. Its totient is φ = 634847044752.

The previous prime is 2270268242017. The next prime is 2270268242063. The reversal of 2270268242046 is 6402428620722.

2270268242046 is a `hidden beast` number, since 22 + 70 + 26 + 82 + 420 + 46 = 666.

It is a super-2 number, since 2×22702682420462 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2270268241992 and 2270268242010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191674950 + ... + 191686793.

It is an arithmetic number, because the mean of its divisors is an integer number (119608864128).

Almost surely, 22270268242046 is an apocalyptic number.

2270268242046 is an abundant number, since it is smaller than the sum of its proper divisors (3470957236098).

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

2270268242046 is a wasteful number, since it uses less digits than its factorization.

2270268242046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383361805 (or 383361802 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 2270268242046 in words is "two trillion, two hundred seventy billion, two hundred sixty-eight million, two hundred forty-two thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5922 383361743 766723486 1150085229 2300170458 2683532201 3450255687 5367064402 6900511374 8050596603 16101193206 18018001921 24151789809 36036003842 48303579618 54054005763 108108011526 126126013447 162162017289 252252026894 324324034578 378378040341 756756080682 1135134121023 2270268242046