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1132201224 = 23327111741293
BaseRepresentation
bin100001101111100…
…0000010100001000
32220220102210002200
41003133000110020
54304320414344
6304203000200
740025360130
oct10337002410
92826383080
101132201224
115311095a0
12277209060
1315074686b
14aa521ac0
15695e7069
hex437c0508

1132201224 has 384 divisors, whose sum is σ = 4160782080. Its totient is φ = 269107200.

The previous prime is 1132201201. The next prime is 1132201229. The reversal of 1132201224 is 4221022311.

It is a happy number.

It is a super-2 number, since 2×11322012242 = 2563759223254196352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1132201197 and 1132201206.

It is not an unprimeable number, because it can be changed into a prime (1132201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3864022 + ... + 3864314.

It is an arithmetic number, because the mean of its divisors is an integer number (10835370).

Almost surely, 21132201224 is an apocalyptic number.

1132201224 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 1132201224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080391040).

1132201224 is an abundant number, since it is smaller than the sum of its proper divisors (3028580856).

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

1132201224 is a wasteful number, since it uses less digits than its factorization.

1132201224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1132201224 is about 33648.1979309442. The cubic root of 1132201224 is about 1042.2563266034.

Adding to 1132201224 its reverse (4221022311), we get a palindrome (5353223535).

The spelling of 1132201224 in words is "one billion, one hundred thirty-two million, two hundred one thousand, two hundred twenty-four".