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2234200100 = 2252112837177
BaseRepresentation
bin1000010100101011…
…0011000000100100
312202201001010100212
42011022303000210
514033423400400
61005410354552
7106236246626
oct20512630044
95681033325
102234200100
11a47169670
1252428ba58
13297b472c2
14172a20c16
15d1225335
hex852b3024

2234200100 has 72 divisors (see below), whose sum is σ = 5308389408. Its totient is φ = 809452800.

The previous prime is 2234200079. The next prime is 2234200109. The reversal of 2234200100 is 10024322.

It is not an unprimeable number, because it can be changed into a prime (2234200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307712 + ... + 314888.

Almost surely, 22234200100 is an apocalyptic number.

2234200100 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 2234200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654194704).

2234200100 is an abundant number, since it is smaller than the sum of its proper divisors (3074189308).

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

2234200100 is a wasteful number, since it uses less digits than its factorization.

2234200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2234200100 is about 47267.3259239403. The cubic root of 2234200100 is about 1307.2962707823.

Adding to 2234200100 its reverse (10024322), we get a palindrome (2244224422).

The spelling of 2234200100 in words is "two billion, two hundred thirty-four million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 283 550 566 1100 1132 1415 2830 3113 5660 6226 7075 7177 12452 14150 14354 15565 28300 28708 31130 35885 62260 71770 77825 78947 143540 155650 157894 179425 311300 315788 358850 394735 717700 789470 1578940 1973675 2031091 3947350 4062182 7894700 8124364 10155455 20310910 22342001 40621820 44684002 50777275 89368004 101554550 111710005 203109100 223420010 446840020 558550025 1117100050 2234200100