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1133220144 = 24374916869
BaseRepresentation
bin100001110001011…
…1001000100110000
32220222100112210110
41003202321010300
54310101021034
6304240501320
740040132550
oct10342710460
92828315713
101133220144
11531745081
1227761a840
13150a12584
14aa709160
1569748de9
hex438b9130

1133220144 has 80 divisors (see below), whose sum is σ = 3352999680. Its totient is φ = 323070720.

The previous prime is 1133220107. The next prime is 1133220163. The reversal of 1133220144 is 4410223311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1133220144.

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, 161542 + ... + 168410.

It is an arithmetic number, because the mean of its divisors is an integer number (41912496).

Almost surely, 21133220144 is an apocalyptic number.

1133220144 is a gapful number since it is divisible by the number (14) 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 1133220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676499840).

1133220144 is an abundant number, since it is smaller than the sum of its proper divisors (2219779536).

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

1133220144 is a wasteful number, since it uses less digits than its factorization.

1133220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1133220144 is about 33663.3353071261. The cubic root of 1133220144 is about 1042.5688910072.

Adding to 1133220144 its reverse (4410223311), we get a palindrome (5543443455).

The spelling of 1133220144 in words is "one billion, one hundred thirty-three million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 491 982 1473 1964 2946 3437 3928 5892 6869 6874 7856 10311 11784 13738 13748 20607 20622 23568 27476 27496 41214 41244 48083 54952 54992 82428 82488 96166 109904 144249 164856 164976 192332 288498 329712 384664 576996 769328 1153992 2307984 3372679 6745358 10118037 13490716 20236074 23608753 26981432 40472148 47217506 53962864 70826259 80944296 94435012 141652518 161888592 188870024 283305036 377740048 566610072 1133220144