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2234262680 = 235134339923
BaseRepresentation
bin1000010100101100…
…0010010010011000
312202201011022012122
42011023002102120
514033432401210
61005412000412
7106236630236
oct20513022230
95681138178
102234262680
11a47201691
12524300108
13297b69930
14172a39956
15d1238b55
hex852c2498

2234262680 has 64 divisors (see below), whose sum is σ = 5426840160. Its totient is φ = 822970368.

The previous prime is 2234262661. The next prime is 2234262683. The reversal of 2234262680 is 862624322.

It is a self number, because there is not a number n which added to its sum of digits gives 2234262680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234262683) 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 15 ways as a sum of consecutive naturals, for example, 220199 + ... + 230121.

Almost surely, 22234262680 is an apocalyptic number.

2234262680 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 2234262680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713420080).

2234262680 is an abundant number, since it is smaller than the sum of its proper divisors (3192577480).

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

2234262680 is a wasteful number, since it uses less digits than its factorization.

2234262680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10380 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 2234262680 is about 47267.9878987883. The cubic root of 2234262680 is about 1307.3084764686.

The spelling of 2234262680 in words is "two billion, two hundred thirty-four million, two hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 433 520 866 1732 2165 3464 4330 5629 8660 9923 11258 17320 19846 22516 28145 39692 45032 49615 56290 79384 99230 112580 128999 198460 225160 257998 396920 515996 644995 1031992 1289990 2579980 4296659 5159960 8593318 17186636 21483295 34373272 42966590 55856567 85933180 111713134 171866360 223426268 279282835 446852536 558565670 1117131340 2234262680