Search a number
-
+
2200240704 = 263471571553
BaseRepresentation
bin1000001100100101…
…0000001001000000
312200100010210211110
42003021100021000
514001230200304
61002154443320
7105344510634
oct20311201100
95610123743
102200240704
11a29a84452
12514a33540
13290ab709c
1416c300dc4
15cd268289
hex83250240

2200240704 has 112 divisors (see below), whose sum is σ = 5987052288. Its totient is φ = 712777728.

The previous prime is 2200240663. The next prime is 2200240711. The reversal of 2200240704 is 4070420022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1415992 + ... + 1417544.

It is an arithmetic number, because the mean of its divisors is an integer number (53455824).

Almost surely, 22200240704 is an apocalyptic number.

2200240704 is a gapful number since it is divisible by the number (24) 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 2200240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993526144).

2200240704 is an abundant number, since it is smaller than the sum of its proper divisors (3786811584).

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

2200240704 is a wasteful number, since it uses less digits than its factorization.

2200240704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2200240704 is about 46906.7234413149. The cubic root of 2200240704 is about 1300.6388780858.

Adding to 2200240704 its reverse (4070420022), we get a palindrome (6270660726).

The spelling of 2200240704 in words is "two billion, two hundred million, two hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 157 188 192 282 314 376 471 564 628 752 942 1128 1256 1504 1553 1884 2256 2512 3008 3106 3768 4512 4659 5024 6212 7379 7536 9024 9318 10048 12424 14758 15072 18636 22137 24848 29516 30144 37272 44274 49696 59032 72991 74544 88548 99392 118064 145982 149088 177096 218973 236128 243821 291964 298176 354192 437946 472256 487642 583928 708384 731463 875892 975284 1167856 1416768 1462926 1751784 1950568 2335712 2925852 3503568 3901136 4671424 5851704 7007136 7802272 11459587 11703408 14014272 15604544 22919174 23406816 34378761 45838348 46813632 68757522 91676696 137515044 183353392 275030088 366706784 550060176 733413568 1100120352 2200240704