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232011120 = 243511233821
BaseRepresentation
bin11011101010000…
…11010101110000
3121011120101102110
431311003111300
5433343323440
635004445320
75515030155
oct1565032560
9534511373
10232011120
11109a67430
1265849840
13390b47b3
1422b5622c
151557e080
hexdd43570

232011120 has 160 divisors (see below), whose sum is σ = 818947584. Its totient is φ = 53785600.

The previous prime is 232011113. The next prime is 232011133. The reversal of 232011120 is 21110232.

232011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 232011096 and 232011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58810 + ... + 62630.

Almost surely, 2232011120 is an apocalyptic number.

232011120 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 232011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

232011120 is an abundant number, since it is smaller than the sum of its proper divisors (586936464).

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

232011120 is a wasteful number, since it uses less digits than its factorization.

232011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 232011120 is about 15231.9112392372. The cubic root of 232011120 is about 614.4731822686.

Adding to 232011120 its reverse (21110232), we get a palindrome (253121352).

The spelling of 232011120 in words is "two hundred thirty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 3821 4048 5060 5520 6072 7590 7642 10120 11463 12144 15180 15284 19105 20240 22926 30360 30568 38210 42031 45852 57315 60720 61136 76420 84062 87883 91704 114630 126093 152840 168124 175766 183408 210155 229260 252186 263649 305680 336248 351532 420310 439415 458520 504372 527298 630465 672496 703064 840620 878830 917040 966713 1008744 1054596 1260930 1318245 1406128 1681240 1757660 1933426 2017488 2109192 2521860 2636490 2900139 3362480 3515320 3866852 4218384 4833565 5043720 5272980 5800278 7030640 7733704 9667130 10087440 10545960 11600556 14500695 15467408 19334260 21091920 23201112 29001390 38668520 46402224 58002780 77337040 116005560 232011120