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232150100 = 225271397263
BaseRepresentation
bin11011101011001…
…01010001010100
3121011211110001212
431311211101110
5433412300400
635011440552
75516146310
oct1565452124
9534743055
10232150100
1110a051896
12658b6158
1339132b30
1422b90b40
15155aa335
hexdd65454

232150100 has 144 divisors (see below), whose sum is σ = 628793088. Its totient is φ = 72437760.

The previous prime is 232150081. The next prime is 232150129. The reversal of 232150100 is 1051232.

It is a happy number.

232150100 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 (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882569 + ... + 882831.

Almost surely, 2232150100 is an apocalyptic number.

232150100 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 232150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314396544).

232150100 is an abundant number, since it is smaller than the sum of its proper divisors (396642988).

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

232150100 is a wasteful number, since it uses less digits than its factorization.

232150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 232150100 is about 15236.4726889133. The cubic root of 232150100 is about 614.5958523033.

The spelling of 232150100 in words is "two hundred thirty-two million, one hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 97 100 130 140 175 182 194 260 263 325 350 364 388 455 485 526 650 679 700 910 970 1052 1261 1300 1315 1358 1820 1841 1940 2275 2425 2522 2630 2716 3395 3419 3682 4550 4850 5044 5260 6305 6575 6790 6838 7364 8827 9100 9205 9700 12610 13150 13580 13676 16975 17095 17654 18410 23933 25220 25511 26300 31525 33950 34190 35308 36820 44135 46025 47866 51022 63050 67900 68380 85475 88270 92050 95732 102044 119665 126100 127555 170950 176540 178577 184100 220675 239330 255110 331643 341900 357154 441350 478660 510220 598325 637775 663286 714308 882700 892885 1196650 1275550 1326572 1658215 1785770 2321501 2393300 2551100 3316430 3571540 4464425 4643002 6632860 8291075 8928850 9286004 11607505 16582150 17857700 23215010 33164300 46430020 58037525 116075050 232150100