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2229620 = 2252337131
BaseRepresentation
bin1000100000010101110100
311012021110112
420200111310
51032321440
6115442152
724644231
oct10402564
94167415
102229620
111293168
128b6358
13600b03
14420788
152e0965
hex220574

2229620 has 48 divisors (see below), whose sum is σ = 5056128. Its totient is φ = 823680.

The previous prime is 2229599. The next prime is 2229653. The reversal of 2229620 is 269222.

It is a happy number.

2229620 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16955 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (105336).

22229620 is an apocalyptic number.

2229620 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 2229620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064).

2229620 is an abundant number, since it is smaller than the sum of its proper divisors (2826508).

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

2229620 is a wasteful number, since it uses less digits than its factorization.

2229620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2229620 is about 1493.1912134754. The cubic root of 2229620 is about 130.6402342526.

The spelling of 2229620 in words is "two million, two hundred twenty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 131 148 185 230 262 370 460 524 655 740 851 1310 1702 2620 3013 3404 4255 4847 6026 8510 9694 12052 15065 17020 19388 24235 30130 48470 60260 96940 111481 222962 445924 557405 1114810 2229620