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2123223256 = 2371110732213
BaseRepresentation
bin111111010001101…
…1101000011011000
312110222012220202101
41332203131003120
513322021121011
6550404013144
7103421046160
oct17643350330
95428186671
102123223256
1199a560070
124b30911b4
1327ab5c42b
14161db35a0
15c66032c1
hex7e8dd0d8

2123223256 has 64 divisors (see below), whose sum is σ = 5009921280. Its totient is φ = 819473280.

The previous prime is 2123223199. The next prime is 2123223257. The reversal of 2123223256 is 6523223212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123223257) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49806 + ... + 82018.

It is an arithmetic number, because the mean of its divisors is an integer number (78280020).

Almost surely, 22123223256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123223256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504960640).

2123223256 is an abundant number, since it is smaller than the sum of its proper divisors (2886698024).

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

2123223256 is a wasteful number, since it uses less digits than its factorization.

2123223256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32344 (or 32340 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 2123223256 is about 46078.4467620166. The cubic root of 2123223256 is about 1285.2823809765.

Adding to 2123223256 its reverse (6523223212), we get a palindrome (8646446468).

The spelling of 2123223256 in words is "two billion, one hundred twenty-three million, two hundred twenty-three thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 107 154 214 308 428 616 749 856 1177 1498 2354 2996 4708 5992 8239 9416 16478 32213 32956 64426 65912 128852 225491 257704 354343 450982 708686 901964 1417372 1803928 2480401 2834744 3446791 4960802 6893582 9921604 13787164 19843208 24127537 27574328 37914701 48255074 75829402 96510148 151658804 193020296 265402907 303317608 530805814 1061611628 2123223256