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2200314042 = 2322943611607
BaseRepresentation
bin1000001100100110…
…0010000010111010
312200100021112102200
42003021202002322
514001240022132
61002200211030
7105345234513
oct20311420272
95610245380
102200314042
11a2a024563
12514a69a76
13290b11594
1416c31da0a
15cd27ed7c
hex832620ba

2200314042 has 96 divisors (see below), whose sum is σ = 5132350080. Its totient is φ = 679916160.

The previous prime is 2200314041. The next prime is 2200314059. The reversal of 2200314042 is 2404130022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2200314041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368403 + ... + 1370009.

It is an arithmetic number, because the mean of its divisors is an integer number (53461980).

Almost surely, 22200314042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200314042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566175040).

2200314042 is an abundant number, since it is smaller than the sum of its proper divisors (2932036038).

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

2200314042 is a wasteful number, since it uses less digits than its factorization.

2200314042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2200314042 is about 46907.5051777431. The cubic root of 2200314042 is about 1300.6533288069.

Adding to 2200314042 its reverse (2404130022), we get a palindrome (4604444064).

The spelling of 2200314042 in words is "two billion, two hundred million, three hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 43 58 61 86 87 122 129 174 183 258 261 366 387 522 549 774 1098 1247 1607 1769 2494 2623 3214 3538 3741 4821 5246 5307 7482 7869 9642 10614 11223 14463 15738 15921 22446 23607 28926 31842 46603 47214 69101 76067 93206 98027 138202 139809 152134 196054 207303 228201 279618 294081 414606 419427 456402 588162 621909 684603 838854 882243 1243818 1369206 1764486 2003929 2842783 4007858 4215161 5685566 6011787 8430322 8528349 12023574 12645483 17056698 18035361 25290966 25585047 36070722 37936449 51170094 75872898 122239669 244479338 366719007 733438014 1100157021 2200314042