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1233240220 = 2251923149947
BaseRepresentation
bin100100110000001…
…1100000010011100
310011221120002112201
41021200130002130
510011202141340
6322212341244
742363240352
oct11140340234
93157502481
101233240220
1158314a6a3
122a5014824
13168662254
14b9b037d2
157340479a
hex4981c09c

1233240220 has 96 divisors (see below), whose sum is σ = 2866752000. Its totient is φ = 443545344.

The previous prime is 1233240187. The next prime is 1233240221. The reversal of 1233240220 is 220423321.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233240221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301787 + ... + 1302733.

It is an arithmetic number, because the mean of its divisors is an integer number (29862000).

Almost surely, 21233240220 is an apocalyptic number.

1233240220 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 1233240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433376000).

1233240220 is an abundant number, since it is smaller than the sum of its proper divisors (1633511780).

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

1233240220 is a wasteful number, since it uses less digits than its factorization.

1233240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1233240220 is about 35117.5201288474. The cubic root of 1233240220 is about 1072.3812863170.

Adding to 1233240220 its reverse (220423321), we get a palindrome (1453663541).

The spelling of 1233240220 in words is "one billion, two hundred thirty-three million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 149 190 230 298 380 437 460 596 745 874 947 1490 1748 1894 2185 2831 2980 3427 3788 4370 4735 5662 6854 8740 9470 11324 13708 14155 17135 17993 18940 21781 28310 34270 35986 43562 56620 65113 68540 71972 87124 89965 108905 130226 141103 179930 217810 260452 282206 325565 359860 413839 435620 564412 651130 705515 827678 1302260 1411030 1655356 2069195 2680957 2822060 3245369 4138390 5361914 6490738 8276780 10723828 12981476 13404785 16226845 26809570 32453690 53619140 61662011 64907380 123324022 246648044 308310055 616620110 1233240220