Search a number
-
+
223228000000 = 285655807
BaseRepresentation
bin1100111111100101101…
…1001111011100000000
3210100012010212100021201
43033321123033130000
512124132332000000
6250314410430544
722061540456425
oct3177133173400
9710163770251
10223228000000
1186741428415
123731a732454
13180866ba185
14ab38d9dd4c
155c177be96a
hex33f96cf700

223228000000 has 126 divisors (see below), whose sum is σ = 556982870528. Its totient is φ = 89289600000.

The previous prime is 223227999977. The next prime is 223228000003. The reversal of 223228000000 is 822322.

It is a super-3 number, since 3×2232280000003 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223228000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3972097 + ... + 4027903.

Almost surely, 2223228000000 is an apocalyptic number.

223228000000 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 223228000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278491435264).

223228000000 is an abundant number, since it is smaller than the sum of its proper divisors (333754870528).

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

223228000000 is an frugal number, since it uses more digits than its factorization.

223228000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55853 (or 55814 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 223228000000 its reverse (822322), we get a palindrome (223228822322).

The spelling of 223228000000 in words is "two hundred twenty-three billion, two hundred twenty-eight million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 55807 62500 80000 100000 111614 125000 160000 200000 223228 250000 279035 400000 446456 500000 558070 800000 892912 1000000 1116140 1395175 1785824 2000000 2232280 2790350 3571648 4000000 4464560 5580700 6975875 7143296 8929120 11161400 13951750 14286592 17858240 22322800 27903500 34879375 35716480 44645600 55807000 69758750 71432960 89291200 111614000 139517500 174396875 178582400 223228000 279035000 348793750 357164800 446456000 558070000 697587500 871984375 892912000 1116140000 1395175000 1743968750 1785824000 2232280000 2790350000 3487937500 4464560000 5580700000 6975875000 8929120000 11161400000 13951750000 22322800000 27903500000 44645600000 55807000000 111614000000 223228000000