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202328112 = 24371941773
BaseRepresentation
bin11000000111101…
…00100000110000
3112002201022222210
430003310200300
5403243444422
632024332120
75004521610
oct1403644060
9462638883
10202328112
11a4233118
1257914040
1332bc0b9c
141cc2aa40
1512b6910c
hexc0f4830

202328112 has 160 divisors (see below), whose sum is σ = 644958720. Its totient is φ = 53360640.

The previous prime is 202328107. The next prime is 202328117. The reversal of 202328112 is 211823202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202328107) and next prime (202328117).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (202328117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261358 + ... + 262130.

It is an arithmetic number, because the mean of its divisors is an integer number (4030992).

Almost surely, 2202328112 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 202328112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322479360).

202328112 is an abundant number, since it is smaller than the sum of its proper divisors (442630608).

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

202328112 is a wasteful number, since it uses less digits than its factorization.

202328112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 202328112 is about 14224.2086598868. The cubic root of 202328112 is about 587.0639463589.

It can be divided in two parts, 2023 and 28112, that added together give a triangular number (30135 = T245).

The spelling of 202328112 in words is "two hundred two million, three hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 41 42 48 56 57 76 82 84 112 114 123 133 152 164 168 228 246 266 287 304 328 336 399 456 492 532 574 656 773 779 798 861 912 984 1064 1148 1546 1558 1596 1722 1968 2128 2296 2319 2337 3092 3116 3192 3444 4592 4638 4674 5411 5453 6184 6232 6384 6888 9276 9348 10822 10906 12368 12464 13776 14687 16233 16359 18552 18696 21644 21812 29374 31693 32466 32718 37104 37392 43288 43624 44061 58748 63386 64932 65436 86576 87248 88122 95079 102809 117496 126772 129864 130872 176244 190158 205618 221851 234992 253544 259728 261744 308427 352488 380316 411236 443702 507088 602167 616854 665553 704976 760632 822472 887404 1204334 1233708 1331106 1521264 1644944 1774808 1806501 2408668 2467416 2662212 3549616 3613002 4215169 4817336 4934832 5324424 7226004 8430338 9634672 10648848 12645507 14452008 16860676 25291014 28904016 33721352 50582028 67442704 101164056 202328112