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2123207548 = 2271117339847
BaseRepresentation
bin111111010001101…
…1001001101111100
312110222012010012121
41332203121031330
513322020120143
6550403412324
7103420652320
oct17643311574
95428163177
102123207548
1199a54a290
124b30840a4
1327ab55237
14161dab980
15c65ed7ed
hex7e8d937c

2123207548 has 48 divisors (see below), whose sum is σ = 4659346944. Its totient is φ = 822421440.

The previous prime is 2123207483. The next prime is 2123207549. The reversal of 2123207548 is 8457023212.

It is a happy number.

It is a super-3 number, since 3×21232075483 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123207549) by changing a digit.

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, 33361 + ... + 73207.

It is an arithmetic number, because the mean of its divisors is an integer number (97069728).

Almost surely, 22123207548 is an apocalyptic number.

2123207548 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123207548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329673472).

2123207548 is an abundant number, since it is smaller than the sum of its proper divisors (2536139396).

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

2123207548 is a wasteful number, since it uses less digits than its factorization.

2123207548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40042 (or 40040 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 2123207548 is about 46078.2763132477. The cubic root of 2123207548 is about 1285.2792113827.

The spelling of 2123207548 in words is "two billion, one hundred twenty-three million, two hundred seven thousand, five hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 173 308 346 692 1211 1903 2422 3806 4844 7612 13321 26642 39847 53284 79694 159388 278929 438317 557858 876634 1115716 1753268 3068219 6136438 6893531 12272876 13787062 27574124 48254717 75828841 96509434 151657682 193018868 303315364 530801887 1061603774 2123207548