Search a number
-
+
1000223120 = 245132167443
BaseRepresentation
bin111011100111100…
…011000110010000
32120201002121011202
4323213203012100
54022024114440
6243130130332
733533520251
oct7347430620
92521077152
101000223120
11473666486
1223ab809a8
1312c2b7900
1496ba8b28
155cc27615
hex3b9e3190

1000223120 has 120 divisors (see below), whose sum is σ = 2538962496. Its totient is φ = 366273024.

The previous prime is 1000223089. The next prime is 1000223141. The reversal of 1000223120 is 213220001.

It is a happy number.

1000223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2257619 + ... + 2258061.

Almost surely, 21000223120 is an apocalyptic number.

1000223120 is a gapful number since it is divisible by the number (10) 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 1000223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269481248).

1000223120 is an abundant number, since it is smaller than the sum of its proper divisors (1538739376).

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

1000223120 is a wasteful number, since it uses less digits than its factorization.

1000223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1000223120 is about 31626.3042418807. The cubic root of 1000223120 is about 1000.0743678026.

Adding to 1000223120 its reverse (213220001), we get a palindrome (1213443121).

The spelling of 1000223120 in words is "one billion, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 167 169 208 260 334 338 443 520 668 676 835 845 886 1040 1336 1352 1670 1690 1772 2171 2215 2672 2704 3340 3380 3544 4342 4430 5759 6680 6760 7088 8684 8860 10855 11518 13360 13520 17368 17720 21710 23036 28223 28795 34736 35440 43420 46072 56446 57590 73981 74867 86840 92144 112892 115180 141115 147962 149734 173680 225784 230360 282230 295924 299468 369905 374335 451568 460720 564460 591848 598936 739810 748670 961753 1128920 1183696 1197872 1479620 1497340 1923506 2257840 2959240 2994680 3847012 4808765 5918480 5989360 7694024 9617530 12502789 15388048 19235060 25005578 38470120 50011156 62513945 76940240 100022312 125027890 200044624 250055780 500111560 1000223120