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2234208 = 25317372
BaseRepresentation
bin1000100001011101100000
311012111202110
420201131200
51032443313
6115515320
724663504
oct10413540
94174673
102234208
111296659
128b8b40
13602c22
14422304
152e1ec3
hex221760

2234208 has 72 divisors (see below), whose sum is σ = 6382152. Its totient is φ = 681984.

The previous prime is 2234207. The next prime is 2234209. The reversal of 2234208 is 8024322.

It is an interprime number because it is at equal distance from previous prime (2234207) and next prime (2234209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60366 + ... + 60402.

It is an arithmetic number, because the mean of its divisors is an integer number (88641).

22234208 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 2234208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191076).

2234208 is an abundant number, since it is smaller than the sum of its proper divisors (4147944).

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

2234208 is a wasteful number, since it uses less digits than its factorization.

2234208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2234208 is about 1494.7267308776. The cubic root of 2234208 is about 130.7297811621.

It can be divided in two parts, 2234 and 208, that added together give a palindrome (2442).

The spelling of 2234208 in words is "two million, two hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 272 296 408 444 544 592 629 816 888 1184 1258 1369 1632 1776 1887 2516 2738 3552 3774 4107 5032 5476 7548 8214 10064 10952 15096 16428 20128 21904 23273 30192 32856 43808 46546 60384 65712 69819 93092 131424 139638 186184 279276 372368 558552 744736 1117104 2234208