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2111221424 = 241333730119
BaseRepresentation
bin111110111010110…
…1010111010110000
312110010122011100002
41331311222322300
513310433041144
6545254445132
7103214041334
oct17565527260
95403564302
102111221424
119938029a4
124ab0637a8
13278519660
1416056b7c4
15c553214e
hex7dd6aeb0

2111221424 has 40 divisors (see below), whose sum is σ = 4418363040. Its totient is φ = 971486208.

The previous prime is 2111221391. The next prime is 2111221429. The reversal of 2111221424 is 4241221112.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2111221396 and 2111221405.

It is not an unprimeable number, because it can be changed into a prime (2111221429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55037 + ... + 85155.

It is an arithmetic number, because the mean of its divisors is an integer number (110459076).

Almost surely, 22111221424 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 2111221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209181520).

2111221424 is an abundant number, since it is smaller than the sum of its proper divisors (2307141616).

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

2111221424 is a wasteful number, since it uses less digits than its factorization.

2111221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30477 (or 30471 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2111221424 is about 45948.0295986672. The cubic root of 2111221424 is about 1282.8560542089.

Adding to 2111221424 its reverse (4241221112), we get a palindrome (6352442536).

The spelling of 2111221424 in words is "two billion, one hundred eleven million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 337 674 1348 2696 4381 5392 8762 17524 30119 35048 60238 70096 120476 240952 391547 481904 783094 1566188 3132376 6264752 10150103 20300206 40600412 81200824 131951339 162401648 263902678 527805356 1055610712 2111221424