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2123333420 = 22513411391433
BaseRepresentation
bin111111010001111…
…0111111100101100
312110222102111212112
41332203313330230
513322033132140
6550410223152
7103422015305
oct17643677454
95428374775
102123333420
1199a62590a
124b3124ab8
1327ab9a610
141620017ac
15c6625c65
hex7e8f7f2c

2123333420 has 96 divisors (see below), whose sum is σ = 4957968960. Its totient is φ = 758845440.

The previous prime is 2123333413. The next prime is 2123333423. The reversal of 2123333420 is 243333212.

It is not an unprimeable number, because it can be changed into a prime (2123333423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481024 + ... + 1482456.

It is an arithmetic number, because the mean of its divisors is an integer number (51645510).

Almost surely, 22123333420 is an apocalyptic number.

2123333420 is a gapful number since it is divisible by the number (20) 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 2123333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478984480).

2123333420 is an abundant number, since it is smaller than the sum of its proper divisors (2834635540).

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

2123333420 is a wasteful number, since it uses less digits than its factorization.

2123333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 2123333420 is about 46079.6421427077. The cubic root of 2123333420 is about 1285.3046096641.

Adding to 2123333420 its reverse (243333212), we get a palindrome (2366666632).

The spelling of 2123333420 in words is "two billion, one hundred twenty-three million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 139 164 205 260 278 410 533 556 695 820 1066 1390 1433 1807 2132 2665 2780 2866 3614 5330 5699 5732 7165 7228 9035 10660 11398 14330 18070 18629 22796 28495 28660 36140 37258 56990 58753 74087 74516 93145 113980 117506 148174 186290 199187 235012 293765 296348 370435 372580 398374 587530 740870 763789 796748 995935 1175060 1481740 1527578 1991870 2589431 3055156 3818945 3983740 5178862 7637890 8166667 10357724 12947155 15275780 16333334 25894310 32666668 40833335 51788620 81666670 106166671 163333340 212333342 424666684 530833355 1061666710 2123333420