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2189099520 = 293751723
BaseRepresentation
bin1000001001111011…
…0000001000000000
312122120011210000000
42002132300020000
513440402141040
61001120000000
7105151016226
oct20236601000
95576153000
102189099520
11a23764963
12511160000
1328b6b5c7a
1416aa40b16
15cc2b7130
hex827b0200

2189099520 has 640 divisors, whose sum is σ = 8697300480. Its totient is φ = 525533184.

The previous prime is 2189099489. The next prime is 2189099551. The reversal of 2189099520 is 259909812.

It is an interprime number because it is at equal distance from previous prime (2189099489) and next prime (2189099551).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95178229 + ... + 95178251.

It is an arithmetic number, because the mean of its divisors is an integer number (13589532).

Almost surely, 22189099520 is an apocalyptic number.

2189099520 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 2189099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348650240).

2189099520 is an abundant number, since it is smaller than the sum of its proper divisors (6508200960).

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

2189099520 is an frugal number, since it uses more digits than its factorization.

2189099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 2189099520 is about 46787.8137980393. The cubic root of 2189099520 is about 1298.4398483060.

The spelling of 2189099520 in words is "two billion, one hundred eighty-nine million, ninety-nine thousand, five hundred twenty".