Search a number
-
+
10522215440 = 2451183144061
BaseRepresentation
bin10011100110010110…
…00100010000010000
31000011022101221000222
421303023010100100
5133022141343230
64500035332212
7521515232642
oct116313042020
930138357028
1010522215440
11450a575220
122057a51068
13cb8c501a9
1471b65c892
15418b636e5
hex2732c4410

10522215440 has 80 divisors (see below), whose sum is σ = 27009896256. Its totient is φ = 3780134400.

The previous prime is 10522215439. The next prime is 10522215449. The reversal of 10522215440 is 4451222501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105222154402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10522215449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010 + ... + 145070.

Almost surely, 210522215440 is an apocalyptic number.

10522215440 is a gapful number since it is divisible by the number (10) 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 10522215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13504948128).

10522215440 is an abundant number, since it is smaller than the sum of its proper divisors (16487680816).

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

10522215440 is a wasteful number, since it uses less digits than its factorization.

10522215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144168 (or 144162 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 10522215440 its reverse (4451222501), we get a palindrome (14973437941).

The spelling of 10522215440 in words is "ten billion, five hundred twenty-two million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 830 880 913 1328 1660 1826 3320 3652 4565 6640 7304 9130 14608 18260 36520 73040 144061 288122 576244 720305 1152488 1440610 1584671 2304976 2881220 3169342 5762440 6338684 7923355 11524880 11957063 12677368 15846710 23914126 25354736 31693420 47828252 59785315 63386840 95656504 119570630 126773680 131527693 191313008 239141260 263055386 478282520 526110772 657638465 956565040 1052221544 1315276930 2104443088 2630553860 5261107720 10522215440