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22199120 = 245614549
BaseRepresentation
bin101010010101…
…1101101010000
31112202211110122
41110223231100
521140332440
62111445412
7356455316
oct124535520
945684418
1022199120
1111592589
127526868
1347a3398
142d3c0b6
151e377b5
hex152bb50

22199120 has 40 divisors (see below), whose sum is σ = 52470600. Its totient is φ = 8732160.

The previous prime is 22199119. The next prime is 22199147. The reversal of 22199120 is 2199122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 21752896 = 668^2 + 4664^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 22199120.

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, 2606 + ... + 7154.

It is an arithmetic number, because the mean of its divisors is an integer number (1311765).

Almost surely, 222199120 is an apocalyptic number.

22199120 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 22199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26235300).

22199120 is an abundant number, since it is smaller than the sum of its proper divisors (30271480).

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

22199120 is a wasteful number, since it uses less digits than its factorization.

22199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 22199120 is about 4711.5942100313. The cubic root of 22199120 is about 281.0467621421.

The spelling of 22199120 in words is "twenty-two million, one hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4549 4880 9098 18196 22745 36392 45490 72784 90980 181960 277489 363920 554978 1109956 1387445 2219912 2774890 4439824 5549780 11099560 22199120