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2374887216 = 24313171911783
BaseRepresentation
bin1000110110001101…
…1110011100110000
320010111202202210210
42031203132130300
514330432342331
61031354024120
7112565131302
oct21543363460
96114682723
102374887216
11100961aa09
12563418040
132bb035310
141875a3972
15dd765446
hex8d8de730

2374887216 has 160 divisors (see below), whose sum is σ = 7364528640. Its totient is φ = 651497472.

The previous prime is 2374887209. The next prime is 2374887257. The reversal of 2374887216 is 6127884732.

2374887216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195661 + ... + 207443.

It is an arithmetic number, because the mean of its divisors is an integer number (46028304).

Almost surely, 22374887216 is an apocalyptic number.

2374887216 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 2374887216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682264320).

2374887216 is an abundant number, since it is smaller than the sum of its proper divisors (4989641424).

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

2374887216 is a wasteful number, since it uses less digits than its factorization.

2374887216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843 (or 11837 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 2374887216 is about 48732.8145708823. The cubic root of 2374887216 is about 1334.1797045171.

The spelling of 2374887216 in words is "two billion, three hundred seventy-four million, eight hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 19 24 26 34 38 39 48 51 52 57 68 76 78 102 104 114 136 152 156 204 208 221 228 247 272 304 312 323 408 442 456 494 624 646 663 741 816 884 912 969 988 1292 1326 1482 1768 1938 1976 2584 2652 2964 3536 3876 3952 4199 5168 5304 5928 7752 8398 10608 11783 11856 12597 15504 16796 23566 25194 33592 35349 47132 50388 67184 70698 94264 100776 141396 153179 188528 200311 201552 223877 282792 306358 400622 447754 459537 565584 600933 612716 671631 801244 895508 919074 1201866 1225432 1343262 1602488 1791016 1838148 2403732 2450864 2604043 2686524 2910401 3204976 3582032 3676296 3805909 4807464 5208086 5373048 5820802 7352592 7611818 7812129 8731203 9614928 10416172 10746096 11417727 11641604 15223636 15624258 17462406 20832344 22835454 23283208 30447272 31248516 34924812 41664688 45670908 46566416 49476817 60894544 62497032 69849624 91341816 98953634 124994064 139699248 148430451 182683632 197907268 296860902 395814536 593721804 791629072 1187443608 2374887216