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1232223040 = 265792617
BaseRepresentation
bin100100101110010…
…0011101101000000
310011212122102020101
41021130203231000
510010422114130
6322134452144
742351502666
oct11134435500
93155572211
101232223040
11582615454
122a4804054
13168397279
14b991ac36
15732a31ca
hex49723b40

1232223040 has 84 divisors (see below), whose sum is σ = 2976660036. Its totient is φ = 485861376.

The previous prime is 1232223037. The next prime is 1232223043. The reversal of 1232223040 is 403222321.

It is an interprime number because it is at equal distance from previous prime (1232223037) and next prime (1232223043).

It can be written as a sum of positive squares in 2 ways, for example, as 193321216 + 1038901824 = 13904^2 + 32232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1232222999 and 1232223017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232223043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1996812 + ... + 1997428.

It is an arithmetic number, because the mean of its divisors is an integer number (35436429).

Almost surely, 21232223040 is an apocalyptic number.

1232223040 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 1232223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488330018).

1232223040 is an abundant number, since it is smaller than the sum of its proper divisors (1744436996).

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

1232223040 is an frugal number, since it uses more digits than its factorization.

1232223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 703 counting only the distinct ones).

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

The square root of 1232223040 is about 35103.0346266530. The cubic root of 1232223040 is about 1072.0863708534.

Adding to 1232223040 its reverse (403222321), we get a palindrome (1635445361).

The spelling of 1232223040 in words is "one billion, two hundred thirty-two million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 617 632 790 1234 1264 1580 2468 2528 3085 3160 4936 5056 6170 6241 6320 9872 12340 12482 12640 19744 24680 24964 25280 31205 39488 48743 49360 49928 62410 97486 98720 99856 124820 194972 197440 199712 243715 249640 389944 399424 487430 499280 779888 974860 998560 1559776 1949720 1997120 3119552 3850697 3899440 7701394 7798880 15402788 15597760 19253485 30805576 38506970 61611152 77013940 123222304 154027880 246444608 308055760 616111520 1232223040