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1230523224 = 233719337951
BaseRepresentation
bin100100101011000…
…0100101101011000
310011202110001112020
41021112010231120
510010003220344
6322034214440
742331163160
oct11126045530
93152401466
101230523224
11581664347
122a4124420
13167c20668
14b95d75a0
1573069719
hex49584b58

1230523224 has 64 divisors (see below), whose sum is σ = 3534090240. Its totient is φ = 349747200.

The previous prime is 1230523211. The next prime is 1230523237. The reversal of 1230523224 is 4223250321.

It is an interprime number because it is at equal distance from previous prime (1230523211) and next prime (1230523237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1230523194 and 1230523203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13449 + ... + 51399.

It is an arithmetic number, because the mean of its divisors is an integer number (55220160).

Almost surely, 21230523224 is an apocalyptic number.

1230523224 is a gapful number since it is divisible by the number (14) 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 1230523224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767045120).

1230523224 is an abundant number, since it is smaller than the sum of its proper divisors (2303567016).

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

1230523224 is a wasteful number, since it uses less digits than its factorization.

1230523224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38160 (or 38156 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1230523224 is about 35078.8144611530. The cubic root of 1230523224 is about 1071.5931732991.

Adding to 1230523224 its reverse (4223250321), we get a palindrome (5453773545).

The spelling of 1230523224 in words is "one billion, two hundred thirty million, five hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 386 579 772 1158 1351 1544 2316 2702 4053 4632 5404 8106 10808 16212 32424 37951 75902 113853 151804 227706 265657 303608 455412 531314 796971 910824 1062628 1593942 2125256 3187884 6375768 7324543 14649086 21973629 29298172 43947258 51271801 58596344 87894516 102543602 153815403 175789032 205087204 307630806 410174408 615261612 1230523224