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2214003424 = 251926913537
BaseRepresentation
bin1000001111110111…
…0000001011100000
312201022001000201211
42003331300023200
514013241102144
61003405435504
7105602501323
oct20375601340
95638030654
102214003424
11a368245a6
1251956bb94
132938c54c9
141700847ba
15ce586034
hex83f702e0

2214003424 has 48 divisors (see below), whose sum is σ = 4605627600. Its totient is φ = 1044762624.

The previous prime is 2214003401. The next prime is 2214003439. The reversal of 2214003424 is 4243004122.

It is a happy number.

It is a super-2 number, since 2×22140034242 = 9803622322967447552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2214003395 and 2214003404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156784 + ... + 170320.

It is an arithmetic number, because the mean of its divisors is an integer number (95950575).

Almost surely, 22214003424 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 2214003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302813800).

2214003424 is an abundant number, since it is smaller than the sum of its proper divisors (2391624176).

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

2214003424 is a wasteful number, since it uses less digits than its factorization.

2214003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13835 (or 13827 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2214003424 is about 47053.1978084381. The cubic root of 2214003424 is about 1303.3451176139.

Adding to 2214003424 its reverse (4243004122), we get a palindrome (6457007546).

The spelling of 2214003424 in words is "two billion, two hundred fourteen million, three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 269 304 538 608 1076 2152 4304 5111 8608 10222 13537 20444 27074 40888 54148 81776 108296 163552 216592 257203 433184 514406 1028812 2057624 3641453 4115248 7282906 8230496 14565812 29131624 58263248 69187607 116526496 138375214 276750428 553500856 1107001712 2214003424