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1000023232 = 26131724159
BaseRepresentation
bin111011100110110…
…010010011000000
32120200201102222111
4323212302103000
54022001220412
6243121545104
733532025425
oct7346622300
92520642874
101000023232
1147353a28a
1223aaa5194
1312c247930
1496b55d4c
155cbd82a7
hex3b9b24c0

1000023232 has 84 divisors (see below), whose sum is σ = 2270719360. Its totient is φ = 434294784.

The previous prime is 1000023229. The next prime is 1000023247. The reversal of 1000023232 is 2323200001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238369 + ... + 242527.

Almost surely, 21000023232 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 1000023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135359680).

1000023232 is an abundant number, since it is smaller than the sum of its proper divisors (1270696128).

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

1000023232 is a wasteful number, since it uses less digits than its factorization.

1000023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1000023232 is about 31623.1439297234. The cubic root of 1000023232 is about 1000.0077439400.

Adding to 1000023232 its reverse (2323200001), we get a palindrome (3323223233).

The spelling of 1000023232 in words is "one billion, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 289 416 442 544 578 832 884 1088 1156 1768 2312 3536 3757 4159 4624 7072 7514 8318 9248 14144 15028 16636 18496 30056 33272 54067 60112 66544 70703 108134 120224 133088 141406 216268 240448 266176 282812 432536 565624 865072 919139 1131248 1201951 1730144 1838278 2262496 2403902 3460288 3676556 4524992 4807804 7353112 9615608 14706224 15625363 19231216 29412448 31250726 38462432 58824896 62501452 76924864 125002904 250005808 500011616 1000023232