Search a number
-
+
2219040 = 253252367
BaseRepresentation
bin1000011101110000100000
311011201221200
420131300200
51032002130
6115321200
724601335
oct10356040
94151850
102219040
11128621a
128b0200
135c9055
1441a98c
152dc760
hex21dc20

2219040 has 144 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 557568.

The previous prime is 2219039. The next prime is 2219059. The reversal of 2219040 is 409122.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33087 + ... + 33153.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

22219040 is an apocalyptic number.

2219040 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 2219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

2219040 is an abundant number, since it is smaller than the sum of its proper divisors (5800608).

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

2219040 is a wasteful number, since it uses less digits than its factorization.

2219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2219040 is about 1489.6442528335. The cubic root of 2219040 is about 130.4332683882.

It can be divided in two parts, 221 and 9040, that added together give a cube (9261 = 213).

The spelling of 2219040 in words is "two million, two hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 67 69 72 80 90 92 96 115 120 134 138 144 160 180 184 201 207 230 240 268 276 288 335 345 360 368 402 414 460 480 536 552 603 670 690 720 736 804 828 920 1005 1035 1072 1104 1206 1340 1380 1440 1541 1608 1656 1840 2010 2070 2144 2208 2412 2680 2760 3015 3082 3216 3312 3680 4020 4140 4623 4824 5360 5520 6030 6164 6432 6624 7705 8040 8280 9246 9648 10720 11040 12060 12328 13869 15410 16080 16560 18492 19296 23115 24120 24656 27738 30820 32160 33120 36984 46230 48240 49312 55476 61640 69345 73968 92460 96480 110952 123280 138690 147936 184920 221904 246560 277380 369840 443808 554760 739680 1109520 2219040