[go: up one dir, main page]

Search a number
-
+
2221556000 = 25531929231
BaseRepresentation
bin1000010001101010…
…0100000100100000
312201211020201220212
42010122210010200
514022204243000
61004235353252
7106023625436
oct20432440440
95654221825
102221556000
11a400129a4
1251bbb2828
1329533b0a1
1417108cd56
15d0078c35
hex846a4120

2221556000 has 96 divisors (see below), whose sum is σ = 5745841920. Its totient is φ = 841824000.

The previous prime is 2221555979. The next prime is 2221556047. The reversal of 2221556000 is 6551222.

It is a super-2 number, since 2×22215560002 = 9870622122272000000, which contains 22 as substring.

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, 61385 + ... + 90615.

It is an arithmetic number, because the mean of its divisors is an integer number (59852520).

Almost surely, 22221556000 is an apocalyptic number.

2221556000 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 2221556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872920960).

2221556000 is an abundant number, since it is smaller than the sum of its proper divisors (3524285920).

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

2221556000 is a wasteful number, since it uses less digits than its factorization.

2221556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29275 (or 29257 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2221556000 is about 47133.3851956339. The cubic root of 2221556000 is about 1304.8254587643.

The spelling of 2221556000 in words is "two billion, two hundred twenty-one million, five hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 29231 38000 58462 76000 116924 146155 233848 292310 467696 555389 584620 730775 935392 1110778 1169240 1461550 2221556 2338480 2776945 2923100 3653875 4443112 4676960 5553890 5846200 7307750 8886224 11107780 11692400 13884725 14615500 17772448 22215560 23384800 27769450 29231000 44431120 55538900 58462000 69423625 88862240 111077800 116924000 138847250 222155600 277694500 444311200 555389000 1110778000 2221556000