Search a number
-
+
11225611032 = 2333674872617
BaseRepresentation
bin10100111010001100…
…10011101100011000
31001222022222010101120
422131012103230120
5140442224023112
65053523445240
7545116055646
oct123506235430
931868863346
1011225611032
114840623799
122213526820
13109b8aacbc
14786c3c196
1545a7a6e8c
hex29d193b18

11225611032 has 64 divisors (see below), whose sum is σ = 28209054720. Its totient is φ = 3722588928.

The previous prime is 11225610983. The next prime is 11225611039. The reversal of 11225611032 is 23011652211.

It is a happy number.

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 = 11225610993 and 11225611011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225611039) 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, 4288188 + ... + 4290804.

It is an arithmetic number, because the mean of its divisors is an integer number (440766480).

Almost surely, 211225611032 is an apocalyptic number.

11225611032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11225611032 is an abundant number, since it is smaller than the sum of its proper divisors (16983443688).

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

11225611032 is a wasteful number, since it uses less digits than its factorization.

11225611032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11225611032 in words is "eleven billion, two hundred twenty-five million, six hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 367 487 734 974 1101 1461 1468 1948 2202 2617 2922 2936 3896 4404 5234 5844 7851 8808 10468 11688 15702 20936 31404 62808 178729 357458 536187 714916 960439 1072374 1274479 1429832 1920878 2144748 2548958 2881317 3823437 3841756 4289496 5097916 5762634 7646874 7683512 10195832 11525268 15293748 23050536 30587496 467733793 935467586 1403201379 1870935172 2806402758 3741870344 5612805516 11225611032