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2198555520 = 27357223369
BaseRepresentation
bin1000001100001011…
…0100101110000000
312200012222012012020
42003002310232000
514000312234040
61002054401440
7105324261600
oct20302645600
95605865166
102198555520
11a29033337
12514360280
13290647035
1416bdc2c00
15cd033cd0
hex830b4b80

2198555520 has 192 divisors, whose sum is σ = 8152390800. Its totient is φ = 502505472.

The previous prime is 2198555419. The next prime is 2198555539. The reversal of 2198555520 is 255558912.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 82396 + ... + 105764.

Almost surely, 22198555520 is an apocalyptic number.

2198555520 is a gapful number since it is divisible by the number (20) 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 2198555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076195400).

2198555520 is an abundant number, since it is smaller than the sum of its proper divisors (5953835280).

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

2198555520 is a wasteful number, since it uses less digits than its factorization.

2198555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23405 (or 23386 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 42.

The square root of 2198555520 is about 46888.7568613202. The cubic root of 2198555520 is about 1300.3067362981.

The spelling of 2198555520 in words is "two billion, one hundred ninety-eight million, five hundred fifty-five thousand, five hundred twenty".