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11240332224 = 263115322127
BaseRepresentation
bin10100111011111100…
…11101101111000000
31002000100200001001220
422131332131233000
5141010011112344
65055211155040
7545355150612
oct123576355700
932010601056
1011240332224
114848968a70
122218445a80
1310a1963774
14788b90db2
1545bc13c19
hex29df9dbc0

11240332224 has 56 divisors (see below), whose sum is σ = 32443692288. Its totient is φ = 3406160640.

The previous prime is 11240332199. The next prime is 11240332249. The reversal of 11240332224 is 42223304211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11240332199) and next prime (11240332249).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11240332194 and 11240332203.

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, 2658952 + ... + 2663175.

It is an arithmetic number, because the mean of its divisors is an integer number (579351648).

Almost surely, 211240332224 is an apocalyptic number.

It is an amenable number.

11240332224 is an abundant number, since it is smaller than the sum of its proper divisors (21203360064).

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

11240332224 is a wasteful number, since it uses less digits than its factorization.

11240332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322153 (or 5322143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11240332224 its reverse (42223304211), we get a palindrome (53463636435).

The spelling of 11240332224 in words is "eleven billion, two hundred forty million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5322127 10644254 15966381 21288508 31932762 42577016 58543397 63865524 85154032 117086794 127731048 170308064 175630191 234173588 255462096 340616128 351260382 468347176 510924192 702520764 936694352 1021848384 1405041528 1873388704 2810083056 3746777408 5620166112 11240332224