Search a number
-
+
223111330000 = 2454131716241
BaseRepresentation
bin1100111111001001111…
…0001011100011010000
3210022220000022220010121
43033302132023203100
512123413000030000
6250255042040024
722055623004566
oct3176236134320
9708800286117
10223111330000
1186691590529
12372a7649014
131806848ab80
14ab276ada36
155c0c425b1a
hex33f278b8d0

223111330000 has 100 divisors (see below), whose sum is σ = 581727090868. Its totient is φ = 82379520000.

The previous prime is 223111329971. The next prime is 223111330003. The reversal of 223111330000 is 33111322.

It can be written as a sum of positive squares in 10 ways, for example, as 174730688064 + 48380641936 = 418008^2 + 219956^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×2231113300003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223111330003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 728121 + ... + 988120.

Almost surely, 2223111330000 is an apocalyptic number.

223111330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223111330000 is an abundant number, since it is smaller than the sum of its proper divisors (358615760868).

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

223111330000 is a wasteful number, since it uses less digits than its factorization.

223111330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716282 (or 1716261 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 223111330000 its reverse (33111322), we get a palindrome (223144441322).

The spelling of 223111330000 in words is "two hundred twenty-three billion, one hundred eleven million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 1716241 3432482 6864964 8581205 13729928 17162410 22311133 27459856 34324820 42906025 44622266 68649640 85812050 89244532 111555665 137299280 171624100 178489064 214530125 223111330 343248200 356978128 429060250 446222660 557778325 686496400 858120500 892445320 1072650625 1115556650 1716241000 1784890640 2145301250 2231113300 2788891625 3432482000 4290602500 4462226600 5577783250 8581205000 8924453200 11155566500 13944458125 17162410000 22311133000 27888916250 44622266000 55777832500 111555665000 223111330000