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232245024 = 25311172761
BaseRepresentation
bin11011101011111…
…00011100100000
3121012000021021120
431311330130200
5433423320044
635013452240
75520023124
oct1565743440
9535007246
10232245024
1110a107140
1265941080
13391670bb
1422bb7584
15155c8519
hexdd7c720

232245024 has 144 divisors (see below), whose sum is σ = 707416416. Its totient is φ = 66150400.

The previous prime is 232245023. The next prime is 232245067. The reversal of 232245024 is 420542232.

It is a happy number.

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 = 232244985 and 232245003.

It is not an unprimeable number, because it can be changed into a prime (232245023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304804 + ... + 305564.

It is an arithmetic number, because the mean of its divisors is an integer number (4912614).

Almost surely, 2232245024 is an apocalyptic number.

232245024 is a gapful number since it is divisible by the number (24) 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 232245024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353708208).

232245024 is an abundant number, since it is smaller than the sum of its proper divisors (475171392).

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

232245024 is a wasteful number, since it uses less digits than its factorization.

232245024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 232245024 is about 15239.5873959894. The cubic root of 232245024 is about 614.6796083832.

Adding to 232245024 its reverse (420542232), we get a palindrome (652787256).

The spelling of 232245024 in words is "two hundred thirty-two million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 289 352 374 408 528 544 561 578 748 761 816 867 1056 1122 1156 1496 1522 1632 1734 2244 2283 2312 2992 3044 3179 3468 4488 4566 4624 5984 6088 6358 6936 8371 8976 9132 9248 9537 12176 12716 12937 13872 16742 17952 18264 19074 24352 25113 25432 25874 27744 33484 36528 38148 38811 50226 50864 51748 66968 73056 76296 77622 100452 101728 103496 133936 142307 152592 155244 200904 206992 219929 267872 284614 305184 310488 401808 413984 426921 439858 569228 620976 659787 803616 853842 879716 1138456 1241952 1319574 1707684 1759432 2276912 2419219 2639148 3415368 3518864 4553824 4838438 5278296 6830736 7037728 7257657 9676876 10556592 13661472 14515314 19353752 21113184 29030628 38707504 58061256 77415008 116122512 232245024