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1223245530 = 233513379419
BaseRepresentation
bin100100011101001…
…0011111011011010
310011020202022102000
41020322103323122
510001122324110
6321214221430
742212262333
oct11072237332
93136668360
101223245530
11578543521
122a17b4876
13166572c30
14b866128a
15725cd1c0
hex48e93eda

1223245530 has 128 divisors (see below), whose sum is σ = 3608236800. Its totient is φ = 292937472.

The previous prime is 1223245519. The next prime is 1223245577. The reversal of 1223245530 is 355423221.

It is a happy number.

1223245530 is a `hidden beast` number, since 122 + 3 + 2 + 4 + 5 + 530 = 666.

It is a super-4 number, since 4×12232455304 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1223245494 and 1223245503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125161 + ... + 134579.

It is an arithmetic number, because the mean of its divisors is an integer number (28189350).

Almost surely, 21223245530 is an apocalyptic number.

1223245530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223245530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804118400).

1223245530 is an abundant number, since it is smaller than the sum of its proper divisors (2384991270).

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

1223245530 is a wasteful number, since it uses less digits than its factorization.

1223245530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1223245530 is about 34974.9271621829. The cubic root of 1223245530 is about 1069.4764172002.

Adding to 1223245530 its reverse (355423221), we get a palindrome (1578668751).

It can be divided in two parts, 1223 and 245530, that added together give a triangular number (246753 = T702).

The spelling of 1223245530 in words is "one billion, two hundred twenty-three million, two hundred forty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 90 111 117 130 135 185 195 222 234 270 333 351 370 390 481 555 585 666 702 962 999 1110 1170 1443 1665 1755 1998 2405 2886 3330 3510 4329 4810 4995 7215 8658 9419 9990 12987 14430 18838 21645 25974 28257 43290 47095 56514 64935 84771 94190 122447 129870 141285 169542 244894 254313 282570 348503 367341 423855 508626 612235 697006 734682 847710 1045509 1102023 1224470 1271565 1742515 1836705 2091018 2204046 2543130 3136527 3306069 3485030 3673410 4530539 5227545 5510115 6273054 6612138 9061078 9409581 10455090 11020230 13591617 15682635 16530345 18819162 22652695 27183234 31365270 33060690 40774851 45305390 47047905 67958085 81549702 94095810 122324553 135916170 203874255 244649106 407748510 611622765 1223245530