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2117232 = 243313229
BaseRepresentation
bin1000000100111001110000
310222120022000
420010321300
51020222412
6113214000
723665455
oct10047160
93876260
102117232
111216787
12861300
13591900
143d182c
152bc4dc
hex204e70

2117232 has 120 divisors (see below), whose sum is σ = 6807600. Its totient is φ = 628992.

The previous prime is 2117179. The next prime is 2117233. The reversal of 2117232 is 2327112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117233) 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, 72994 + ... + 73022.

It is an arithmetic number, because the mean of its divisors is an integer number (56730).

22117232 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 2117232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403800).

2117232 is an abundant number, since it is smaller than the sum of its proper divisors (4690368).

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

2117232 is a wasteful number, since it uses less digits than its factorization.

2117232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2117232 is about 1455.0711322819. The cubic root of 2117232 is about 128.4072316654.

The spelling of 2117232 in words is "two million, one hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 169 174 208 216 232 234 261 312 338 348 351 377 432 464 468 507 522 624 676 696 702 754 783 936 1014 1044 1131 1352 1392 1404 1508 1521 1566 1872 2028 2088 2262 2704 2808 3016 3042 3132 3393 4056 4176 4524 4563 4901 5616 6032 6084 6264 6786 8112 9048 9126 9802 10179 12168 12528 13572 14703 18096 18252 19604 20358 24336 27144 29406 36504 39208 40716 44109 54288 58812 73008 78416 81432 88218 117624 132327 162864 176436 235248 264654 352872 529308 705744 1058616 2117232