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1141997220 = 22325713231173
BaseRepresentation
bin100010000010001…
…0111111010100100
32221120212110200100
41010010113322210
54314322402340
6305152544100
740204546650
oct10404277244
92846773610
101141997220
1153669a461
1227a552030
13152796600
14ab951a60
156a3ce830
hex44117ea4

1141997220 has 432 divisors, whose sum is σ = 4450747392. Its totient is φ = 231828480.

The previous prime is 1141997191. The next prime is 1141997221. The reversal of 1141997220 is 227991411.

1141997220 is a `hidden beast` number, since 11 + 419 + 9 + 7 + 220 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1141997221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6601054 + ... + 6601226.

It is an arithmetic number, because the mean of its divisors is an integer number (10302656).

Almost surely, 21141997220 is an apocalyptic number.

1141997220 is a gapful number since it is divisible by the number (10) 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 1141997220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225373696).

1141997220 is an abundant number, since it is smaller than the sum of its proper divisors (3308750172).

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

1141997220 is a wasteful number, since it uses less digits than its factorization.

1141997220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1141997220 is about 33793.4493652246. The cubic root of 1141997220 is about 1045.2536246342.

The spelling of 1141997220 in words is "one billion, one hundred forty-one million, nine hundred ninety-seven thousand, two hundred twenty".