Search a number
-
+
11221022440 = 23510914291801
BaseRepresentation
bin10100111001101001…
…10011011011101000
31001222000100000000201
422130310303123220
5140440040204230
65053241241544
7545032055065
oct123464633350
931860300021
1011221022440
114838a7a271
122211a932b4
13109a962564
147863a5c6c
1545a19c5ca
hex29cd336e8

11221022440 has 64 divisors (see below), whose sum is σ = 25510914000. Its totient is φ = 4441651200.

The previous prime is 11221022437. The next prime is 11221022471. The reversal of 11221022440 is 4422012211.

It can be written as a sum of positive squares in 8 ways, for example, as 1290102724 + 9930919716 = 35918^2 + 99654^2 .

It is a super-2 number, since 2×112210224402 (a number of 21 digits) contains 22 as substring.

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, 6229540 + ... + 6231340.

Almost surely, 211221022440 is an apocalyptic number.

11221022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221022440 is an abundant number, since it is smaller than the sum of its proper divisors (14289891560).

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

11221022440 is a wasteful number, since it uses less digits than its factorization.

11221022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11221022440 its reverse (4422012211), we get a palindrome (15643034651).

The spelling of 11221022440 in words is "eleven billion, two hundred twenty-one million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 1429 1801 2180 2858 3602 4360 5716 7145 7204 9005 11432 14290 14408 18010 28580 36020 57160 72040 155761 196309 311522 392618 623044 778805 785236 981545 1246088 1557610 1570472 1963090 2573629 3115220 3926180 5147258 6230440 7852360 10294516 12868145 20589032 25736290 51472580 102945160 280525561 561051122 1122102244 1402627805 2244204488 2805255610 5610511220 11221022440