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2115433216 = 281317139269
BaseRepresentation
bin111111000010110…
…1111001100000000
312110102120010211101
41332011233030000
513313022330331
6545525024144
7103264612531
oct17605571400
95412503741
102115433216
1199611a316
124b0555054
13279362740
14160d46688
15c5ab5061
hex7e16f300

2115433216 has 144 divisors (see below), whose sum is σ = 4867581600. Its totient is φ = 908918784.

The previous prime is 2115433181. The next prime is 2115433219. The reversal of 2115433216 is 6123345112.

It is a super-2 number, since 2×21154332162 = 8950115382712205312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2115433219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7863930 + ... + 7864198.

It is an arithmetic number, because the mean of its divisors is an integer number (33802650).

Almost surely, 22115433216 is an apocalyptic number.

2115433216 is a gapful number since it is divisible by the number (26) 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 2115433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433790800).

2115433216 is an abundant number, since it is smaller than the sum of its proper divisors (2752148384).

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

2115433216 is a wasteful number, since it uses less digits than its factorization.

2115433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 2115433216 is about 45993.8388917472. The cubic root of 2115433216 is about 1283.7085676380.

Adding to 2115433216 its reverse (6123345112), we get a palindrome (8238778328).

The spelling of 2115433216 in words is "two billion, one hundred fifteen million, four hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 139 208 221 256 269 272 278 416 442 538 544 556 832 884 1076 1088 1112 1664 1768 1807 2152 2176 2224 2363 3328 3497 3536 3614 4304 4352 4448 4573 4726 6994 7072 7228 8608 8896 9146 9452 13988 14144 14456 17216 17792 18292 18904 27976 28288 28912 30719 34432 35584 36584 37391 37808 55952 56576 57824 59449 61438 68864 73168 74782 75616 111904 115648 118898 122876 146336 149564 151232 223808 231296 237796 245752 292672 299128 302464 447616 462592 475592 486083 491504 585344 598256 604928 635647 895232 951184 972166 983008 1170688 1196512 1271294 1902368 1944332 1966016 2393024 2542588 3804736 3888664 3932032 4786048 5085176 7609472 7777328 7864064 8263411 9572096 10170352 15218944 15554656 16526822 20340704 31109312 33053644 40681408 62218624 66107288 81362816 124437248 132214576 162725632 264429152 528858304 1057716608 2115433216