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2198019024 = 24335088007
BaseRepresentation
bin1000001100000011…
…0001101111010000
312200011221221021000
42003000301233100
514000143102044
61002035102000
7105316565505
oct20300615720
95604857230
102198019024
11a287a7253
12514141900
132904b9a96
1416bcc34ac
15cce79d69
hex83031bd0

2198019024 has 40 divisors (see below), whose sum is σ = 6309129920. Its totient is φ = 732672864.

The previous prime is 2198019007. The next prime is 2198019037. The reversal of 2198019024 is 4209108912.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2198019024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2543572 + ... + 2544435.

It is an arithmetic number, because the mean of its divisors is an integer number (157728248).

Almost surely, 22198019024 is an apocalyptic number.

2198019024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2198019024 is an abundant number, since it is smaller than the sum of its proper divisors (4111110896).

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

2198019024 is a wasteful number, since it uses less digits than its factorization.

2198019024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088024 (or 5088012 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2198019024 is about 46883.0355672497. The cubic root of 2198019024 is about 1300.2009598601.

The spelling of 2198019024 in words is "two billion, one hundred ninety-eight million, nineteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5088007 10176014 15264021 20352028 30528042 40704056 45792063 61056084 81408112 91584126 122112168 137376189 183168252 244224336 274752378 366336504 549504756 732673008 1099009512 2198019024