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2233980 = 223457197
BaseRepresentation
bin1000100001011001111100
311012111110000
420201121330
51032441410
6115514300
724663030
oct10413174
94174400
102233980
111296471
128b8990
13602aa8
144221c0
152e1dc0
hex22167c

2233980 has 120 divisors (see below), whose sum is σ = 8049888. Its totient is φ = 508032.

The previous prime is 2233969. The next prime is 2233993. The reversal of 2233980 is 893322.

2233980 = T254 + T255 + ... + T309.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11242 + ... + 11438.

22233980 is an apocalyptic number.

2233980 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 2233980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024944).

2233980 is an abundant number, since it is smaller than the sum of its proper divisors (5815908).

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

2233980 is a wasteful number, since it uses less digits than its factorization.

2233980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2233980 is about 1494.6504608102. The cubic root of 2233980 is about 130.7253340375.

The spelling of 2233980 in words is "two million, two hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 197 210 252 270 315 324 378 394 405 420 540 567 591 630 756 788 810 945 985 1134 1182 1260 1379 1620 1773 1890 1970 2268 2364 2758 2835 2955 3546 3780 3940 4137 5319 5516 5670 5910 6895 7092 8274 8865 10638 11340 11820 12411 13790 15957 16548 17730 20685 21276 24822 26595 27580 31914 35460 37233 41370 49644 53190 62055 63828 74466 79785 82740 106380 111699 124110 148932 159570 186165 223398 248220 319140 372330 446796 558495 744660 1116990 2233980