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2199920 = 245107257
BaseRepresentation
bin1000011001000101110000
311010202201112
420121011300
51030344140
6115052452
724461522
oct10310560
94122645
102199920
111272918
128a1128
135c0438
14413a12
152d6c65
hex219170

2199920 has 40 divisors (see below), whose sum is σ = 5182704. Its totient is φ = 868352.

The previous prime is 2199917. The next prime is 2199931. The reversal of 2199920 is 299912.

It is a tau number, because it is divible by the number of its divisors (40).

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, 8432 + ... + 8688.

22199920 is an apocalyptic number.

2199920 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 2199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591352).

2199920 is an abundant number, since it is smaller than the sum of its proper divisors (2982784).

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

2199920 is a wasteful number, since it uses less digits than its factorization.

2199920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 2199920 is about 1483.2127291795. The cubic root of 2199920 is about 130.0575681915.

The spelling of 2199920 in words is "two million, one hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 257 428 514 535 856 1028 1070 1285 1712 2056 2140 2570 4112 4280 5140 8560 10280 20560 27499 54998 109996 137495 219992 274990 439984 549980 1099960 2199920