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2102423200 = 25528331663
BaseRepresentation
bin111110101010000…
…0110111010100000
312102112002011102221
41331110012322200
513301210020300
6544342120424
7103046205463
oct17524067240
95375064387
102102423200
11989843739
124a8120114
13276758ac7
1415d31b2da
15c489531a
hex7d506ea0

2102423200 has 72 divisors (see below), whose sum is σ = 5194542528. Its totient is φ = 830810880.

The previous prime is 2102423159. The next prime is 2102423249. The reversal of 2102423200 is 23242012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50569 + ... + 82231.

It is an arithmetic number, because the mean of its divisors is an integer number (72146424).

Almost surely, 22102423200 is an apocalyptic number.

2102423200 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 2102423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597271264).

2102423200 is an abundant number, since it is smaller than the sum of its proper divisors (3092119328).

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

2102423200 is a wasteful number, since it uses less digits than its factorization.

2102423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31766 (or 31753 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2102423200 is about 45852.1886064340. The cubic root of 2102423200 is about 1281.0715311203.

Adding to 2102423200 its reverse (23242012), we get a palindrome (2125665212).

The spelling of 2102423200 in words is "two billion, one hundred two million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 664 800 830 1328 1660 2075 2656 3320 4150 6640 8300 13280 16600 31663 33200 63326 66400 126652 158315 253304 316630 506608 633260 791575 1013216 1266520 1583150 2533040 2628029 3166300 5066080 5256058 6332600 10512116 12665200 13140145 21024232 25330400 26280290 42048464 52560580 65700725 84096928 105121160 131401450 210242320 262802900 420484640 525605800 1051211600 2102423200