Search a number
-
+
2220023400 = 233527275511
BaseRepresentation
bin1000010001010010…
…1101111001101000
312201201100212120220
42010110231321220
514021311222100
61004142450040
7106004613300
oct20424557150
95651325526
102220023400
11a3a166491
1251b593920
13294c2261a
14170bb0600
15ced74aa0
hex8452de68

2220023400 has 144 divisors (see below), whose sum is σ = 8005782240. Its totient is φ = 507427200.

The previous prime is 2220023371. The next prime is 2220023401. The reversal of 2220023400 is 43200222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2220023400.

It is not an unprimeable number, because it can be changed into a prime (2220023401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8356 + ... + 67155.

It is an arithmetic number, because the mean of its divisors is an integer number (55595710).

Almost surely, 22220023400 is an apocalyptic number.

2220023400 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 2220023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002891120).

2220023400 is an abundant number, since it is smaller than the sum of its proper divisors (5785758840).

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

2220023400 is a wasteful number, since it uses less digits than its factorization.

2220023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75544 (or 75528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2220023400 is about 47117.1242755752. The cubic root of 2220023400 is about 1304.5253334556.

Adding to 2220023400 its reverse (43200222), we get a palindrome (2263223622).

The spelling of 2220023400 in words is "two billion, two hundred twenty million, twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 75511 151022 226533 302044 377555 453066 528577 604088 755110 906132 1057154 1132665 1510220 1585731 1812264 1887775 2114308 2265330 2642885 3020440 3171462 3700039 3775550 4228616 4530660 5285770 5663325 6342924 7400078 7551100 7928655 9061320 10571540 11100117 11326650 12685848 13214425 14800156 15102200 15857310 18500195 21143080 22200234 22653300 26428850 29600312 31714620 37000390 39643275 44400468 45306600 52857700 55500585 63429240 74000780 79286550 88800936 92500975 105715400 111001170 148001560 158573100 185001950 222002340 277502925 317146200 370003900 444004680 555005850 740007800 1110011700 2220023400