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2214301232 = 2411133131219
BaseRepresentation
bin1000001111111011…
…1000111000110000
312201022121011020202
42003332320320300
514013330114412
61003420054332
7105605151503
oct20376707060
95638534222
102214301232
11a36a08320
125196943a8
1329399ac20
1417012113a
15ce5e43c2
hex83fb8e30

2214301232 has 80 divisors (see below), whose sum is σ = 5203000320. Its totient is φ = 899078400.

The previous prime is 2214301213. The next prime is 2214301247. The reversal of 2214301232 is 2321034122.

2214301232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 55319 + ... + 86537.

It is an arithmetic number, because the mean of its divisors is an integer number (65037504).

Almost surely, 22214301232 is an apocalyptic number.

2214301232 is a gapful number since it is divisible by the number (22) 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 2214301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601500160).

2214301232 is an abundant number, since it is smaller than the sum of its proper divisors (2988699088).

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

2214301232 is a wasteful number, since it uses less digits than its factorization.

2214301232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31282 (or 31276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2214301232 is about 47056.3622903428. The cubic root of 2214301232 is about 1303.4035531153.

Adding to 2214301232 its reverse (2321034122), we get a palindrome (4535335354).

The spelling of 2214301232 in words is "two billion, two hundred fourteen million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1364 1612 2288 2728 3224 4433 5456 6448 8866 17732 31219 35464 62438 70928 124876 249752 343409 405847 499504 686818 811694 967789 1373636 1623388 1935578 2747272 3246776 3871156 4464317 5494544 6493552 7742312 8928634 10645679 12581257 15484624 17857268 21291358 25162514 35714536 42582716 50325028 71429072 85165432 100650056 138393827 170330864 201300112 276787654 553575308 1107150616 2214301232