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1214299520 = 2757477379
BaseRepresentation
bin100100001100000…
…1011110110000000
310010121220210210022
41020120023312000
54441330041040
6320254353012
742043242560
oct11030136600
93117823708
101214299520
11573493225
1229a7bb768
13164760035
14b73b2da0
15719126b5
hex4860bd80

1214299520 has 256 divisors, whose sum is σ = 3478118400. Its totient is φ = 396804096.

The previous prime is 1214299517. The next prime is 1214299561. The reversal of 1214299520 is 259924121.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15370841 + ... + 15370919.

It is an arithmetic number, because the mean of its divisors is an integer number (13586400).

Almost surely, 21214299520 is an apocalyptic number.

1214299520 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 1214299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739059200).

1214299520 is an abundant number, since it is smaller than the sum of its proper divisors (2263818880).

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

1214299520 is an equidigital number, since it uses as much as digits as its factorization.

1214299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1214299520 is about 34846.8007139823. The cubic root of 1214299520 is about 1066.8628875127.

The spelling of 1214299520 in words is "one billion, two hundred fourteen million, two hundred ninety-nine thousand, five hundred twenty".