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2198573320 = 235312576899
BaseRepresentation
bin1000001100001011…
…1001000100001000
312200020000002121111
42003002321010020
514000313321240
61002055020104
7105324364516
oct20302710410
95606002544
102198573320
11a29045749
1251436a634
13290652178
1416bdc94b6
15cd0391ea
hex830b9108

2198573320 has 64 divisors (see below), whose sum is σ = 5126976000. Its totient is φ = 847626240.

The previous prime is 2198573287. The next prime is 2198573323. The reversal of 2198573320 is 233758912.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2198573323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315231 + ... + 322129.

It is an arithmetic number, because the mean of its divisors is an integer number (80109000).

Almost surely, 22198573320 is an apocalyptic number.

2198573320 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 2198573320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563488000).

2198573320 is an abundant number, since it is smaller than the sum of its proper divisors (2928402680).

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

2198573320 is a wasteful number, since it uses less digits than its factorization.

2198573320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 2198573320 is about 46888.9466718970. The cubic root of 2198573320 is about 1300.3102454805.

The spelling of 2198573320 in words is "two billion, one hundred ninety-eight million, five hundred seventy-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 257 310 514 620 1028 1240 1285 2056 2570 5140 6899 7967 10280 13798 15934 27596 31868 34495 39835 55192 63736 68990 79670 137980 159340 213869 275960 318680 427738 855476 1069345 1710952 1773043 2138690 3546086 4277380 7092172 8554760 8865215 14184344 17730430 35460860 54964333 70921720 109928666 219857332 274821665 439714664 549643330 1099286660 2198573320