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2198902160 = 2457134153139
BaseRepresentation
bin1000001100010000…
…1001010110010000
312200020121210200202
42003010021112100
514000404332120
61002110034332
7105330234320
oct20304112620
95606553622
102198902160
11a2924a814
125144a89a8
13290738a50
1416c073280
15cd0a1875
hex83109590

2198902160 has 320 divisors, whose sum is σ = 6614576640. Its totient is φ = 661340160.

The previous prime is 2198902133. The next prime is 2198902169. The reversal of 2198902160 is 612098912.

It is not an unprimeable number, because it can be changed into a prime (2198902169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15819371 + ... + 15819509.

It is an arithmetic number, because the mean of its divisors is an integer number (20670552).

Almost surely, 22198902160 is an apocalyptic number.

2198902160 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 2198902160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307288320).

2198902160 is an abundant number, since it is smaller than the sum of its proper divisors (4415674480).

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

2198902160 is a wasteful number, since it uses less digits than its factorization.

2198902160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 2198902160 is about 46892.4531241435. The cubic root of 2198902160 is about 1300.3750712626.

The spelling of 2198902160 in words is "two billion, one hundred ninety-eight million, nine hundred two thousand, one hundred sixty".