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232233120 = 25325723039
BaseRepresentation
bin11011101011110…
…01100010100000
3121011222122221200
431311321202200
5433422424440
635013321200
75516643330
oct1565714240
9534878850
10232233120
1110a0a91a9
1265936200
1339161862
1422bb30c0
15155c4c30
hexdd798a0

232233120 has 144 divisors (see below), whose sum is σ = 905748480. Its totient is φ = 53079552.

The previous prime is 232233101. The next prime is 232233149. The reversal of 232233120 is 21332232.

It is a happy number.

232233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232233093 and 232233102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440 + ... + 21599.

It is an arithmetic number, because the mean of its divisors is an integer number (6289920).

Almost surely, 2232233120 is an apocalyptic number.

232233120 is a gapful number since it is divisible by the number (20) 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 232233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

232233120 is an abundant number, since it is smaller than the sum of its proper divisors (673515360).

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

232233120 is a wasteful number, since it uses less digits than its factorization.

232233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23067 (or 23056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232233120 is about 15239.1968292296. The cubic root of 232233120 is about 614.6691061545.

Adding to 232233120 its reverse (21332232), we get a palindrome (253565352).

The spelling of 232233120 in words is "two hundred thirty-two million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 23039 46078 69117 92156 115195 138234 161273 184312 207351 230390 276468 322546 345585 368624 414702 460780 483819 552936 645092 691170 737248 806365 829404 921560 967638 1036755 1105872 1290184 1382340 1451457 1612730 1658808 1843120 1935276 2073510 2211744 2419095 2580368 2764680 2902914 3225460 3317616 3686240 3870552 4147020 4838190 5160736 5529360 5805828 6450920 6635232 7257285 7741104 8294040 9676380 11058720 11611656 12901840 14514570 15482208 16588080 19352760 23223312 25803680 29029140 33176160 38705520 46446624 58058280 77411040 116116560 232233120