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2229040 = 2451117149
BaseRepresentation
bin1000100000001100110000
311012020200001
420200030300
51032312130
6115435344
724642442
oct10401460
94166601
102229040
111292790
128b5b54
13600778
14420492
152e06ca
hex220330

2229040 has 80 divisors (see below), whose sum is σ = 6026400. Its totient is φ = 757760.

The previous prime is 2229037. The next prime is 2229041. The reversal of 2229040 is 409222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2228999 and 2229017.

It is not an unprimeable number, because it can be changed into a prime (2229041) 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, 14886 + ... + 15034.

It is an arithmetic number, because the mean of its divisors is an integer number (75330).

22229040 is an apocalyptic number.

2229040 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 2229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013200).

2229040 is an abundant number, since it is smaller than the sum of its proper divisors (3797360).

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

2229040 is a wasteful number, since it uses less digits than its factorization.

2229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2229040 is about 1492.9969859313. The cubic root of 2229040 is about 130.6289052807.

The spelling of 2229040 in words is "two million, two hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 149 170 176 187 220 272 298 340 374 440 596 680 745 748 880 935 1192 1360 1490 1496 1639 1870 2384 2533 2980 2992 3278 3740 5066 5960 6556 7480 8195 10132 11920 12665 13112 14960 16390 20264 25330 26224 27863 32780 40528 50660 55726 65560 101320 111452 131120 139315 202640 222904 278630 445808 557260 1114520 2229040