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1232052224 = 2131323503
BaseRepresentation
bin100100101101111…
…1010000000000000
310011212022201220212
41021123322000000
510010401132344
6322131053252
742350161664
oct11133720000
93155281825
101232052224
11582509087
122a4741228
131683375b0
14b98b48a4
157326c79e
hex496fa000

1232052224 has 112 divisors (see below), whose sum is σ = 2774362752. Its totient is φ = 542834688.

The previous prime is 1232052223. The next prime is 1232052229. The reversal of 1232052224 is 4222502321.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1232052224.

It is not an unprimeable number, because it can be changed into a prime (1232052223) 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 7 ways as a sum of consecutive naturals, for example, 2449157 + ... + 2449659.

It is an arithmetic number, because the mean of its divisors is an integer number (24771096).

Almost surely, 21232052224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387181376).

1232052224 is an abundant number, since it is smaller than the sum of its proper divisors (1542310528).

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

1232052224 is an equidigital number, since it uses as much as digits as its factorization.

1232052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 1232052224 is about 35100.6014763280. The cubic root of 1232052224 is about 1072.0368295062.

Adding to 1232052224 its reverse (4222502321), we get a palindrome (5454554545).

The spelling of 1232052224 in words is "one billion, two hundred thirty-two million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 503 512 598 736 832 1006 1024 1196 1472 1664 2012 2048 2392 2944 3328 4024 4096 4784 5888 6539 6656 8048 8192 9568 11569 11776 13078 13312 16096 19136 23138 23552 26156 26624 32192 38272 46276 47104 52312 53248 64384 76544 92552 94208 104624 106496 128768 150397 153088 185104 188416 209248 257536 300794 306176 370208 418496 515072 601588 612352 740416 836992 1030144 1203176 1224704 1480832 1673984 2060288 2406352 2449408 2961664 3347968 4120576 4812704 5923328 6695936 9625408 11846656 13391872 19250816 23693312 26783744 38501632 47386624 53567488 77003264 94773248 154006528 308013056 616026112 1232052224