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1081224288 = 25341393001
BaseRepresentation
bin100000001110010…
…0010110001100000
32210100111212220000
41000130202301200
54203243134123
6255142220000
735536153254
oct10034426140
92710455800
101081224288
115053608a1
12262124600
131430088b1
14a3852264
1564dc7b43
hex40722c60

1081224288 has 120 divisors (see below), whose sum is σ = 3203794440. Its totient is φ = 357696000.

The previous prime is 1081224283. The next prime is 1081224307. The reversal of 1081224288 is 8824221801.

1081224288 is a `hidden beast` number, since 108 + 122 + 428 + 8 = 666.

It is a super-2 number, since 2×10812242882 = 2338091921922213888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081224283) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 358788 + ... + 361788.

It is an arithmetic number, because the mean of its divisors is an integer number (26698287).

Almost surely, 21081224288 is an apocalyptic number.

1081224288 is a gapful number since it is divisible by the number (18) 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 1081224288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601897220).

1081224288 is an abundant number, since it is smaller than the sum of its proper divisors (2122570152).

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

1081224288 is a wasteful number, since it uses less digits than its factorization.

1081224288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1081224288 is about 32881.9751231583. The cubic root of 1081224288 is about 1026.3731073513.

The spelling of 1081224288 in words is "one billion, eighty-one million, two hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 139 144 162 216 278 288 324 417 432 556 648 834 864 1112 1251 1296 1668 2224 2502 2592 3001 3336 3753 4448 5004 6002 6672 7506 9003 10008 11259 12004 13344 15012 18006 20016 22518 24008 27009 30024 36012 40032 45036 48016 54018 60048 72024 81027 90072 96032 108036 120096 144048 162054 180144 216072 243081 288096 324108 360288 417139 432144 486162 648216 834278 864288 972324 1251417 1296432 1668556 1944648 2502834 2592864 3337112 3754251 3889296 5005668 6674224 7508502 7778592 10011336 11262753 13348448 15017004 20022672 22525506 30034008 33788259 40045344 45051012 60068016 67576518 90102024 120136032 135153036 180204048 270306072 360408096 540612144 1081224288