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2114411352 = 2331911234129
BaseRepresentation
bin111111000000111…
…0101101101011000
312110100122020002120
41332001311231120
513312242130402
6545451101240
7103253125404
oct17601655530
95410566076
102114411352
119955915a9
124b0141820
132790955a1
14160b5c104
15c59623bc
hex7e075b58

2114411352 has 64 divisors (see below), whose sum is σ = 5570544000. Its totient is φ = 666952704.

The previous prime is 2114411323. The next prime is 2114411357. The reversal of 2114411352 is 2531144112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114411357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510024 + ... + 514152.

It is an arithmetic number, because the mean of its divisors is an integer number (87039750).

Almost surely, 22114411352 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 2114411352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785272000).

2114411352 is an abundant number, since it is smaller than the sum of its proper divisors (3456132648).

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

2114411352 is a wasteful number, since it uses less digits than its factorization.

2114411352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 5276 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 2114411352 is about 45982.7288446434. The cubic root of 2114411352 is about 1283.5018350663.

Adding to 2114411352 its reverse (2531144112), we get a palindrome (4645555464).

The spelling of 2114411352 in words is "two billion, one hundred fourteen million, four hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1123 2246 3369 4129 4492 6738 8258 8984 12387 13476 16516 21337 24774 26952 33032 42674 49548 64011 78451 85348 99096 128022 156902 170696 235353 256044 313804 470706 512088 627608 941412 1882824 4636867 9273734 13910601 18547468 27821202 37094936 55642404 88100473 111284808 176200946 264301419 352401892 528602838 704803784 1057205676 2114411352