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2234100 = 2235211677
BaseRepresentation
bin1000100001011011110100
311012111121110
420201123310
51032442400
6115515020
724663261
oct10413364
94174543
102234100
111296570
128b8a70
13602b6b
14422268
152e1e50
hex2216f4

2234100 has 72 divisors (see below), whose sum is σ = 7062048. Its totient is φ = 540800.

The previous prime is 2234081. The next prime is 2234107. The reversal of 2234100 is 14322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2962 + ... + 3638.

It is an arithmetic number, because the mean of its divisors is an integer number (98084).

22234100 is an apocalyptic number.

2234100 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 2234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531024).

2234100 is an abundant number, since it is smaller than the sum of its proper divisors (4827948).

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

2234100 is a wasteful number, since it uses less digits than its factorization.

2234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2234100 is about 1494.6906034360. The cubic root of 2234100 is about 130.7276746671.

Adding to 2234100 its reverse (14322), we get a palindrome (2248422).

The spelling of 2234100 in words is "two million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 677 825 1100 1354 1650 2031 2708 3300 3385 4062 6770 7447 8124 10155 13540 14894 16925 20310 22341 29788 33850 37235 40620 44682 50775 67700 74470 89364 101550 111705 148940 186175 203100 223410 372350 446820 558525 744700 1117050 2234100