Search a number
-
+
203022092 = 2272131743109
BaseRepresentation
bin11000001100111…
…01111100001100
3112011000120221202
430012131330030
5403433201332
632051245032
75013442100
oct1406357414
9464016852
10203022092
11a4667559
1257ba9778
13330a4a20
141cd6b900
1512c54a62
hexc19df0c

203022092 has 144 divisors (see below), whose sum is σ = 486652320. Its totient is φ = 73156608.

The previous prime is 203022047. The next prime is 203022107. The reversal of 203022092 is 290220302.

203022092 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 1862534 + ... + 1862642.

It is an arithmetic number, because the mean of its divisors is an integer number (3379530).

Almost surely, 2203022092 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 203022092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243326160).

203022092 is an abundant number, since it is smaller than the sum of its proper divisors (283630228).

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

203022092 is a wasteful number, since it uses less digits than its factorization.

203022092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 203022092 is about 14248.5821048973. The cubic root of 203022092 is about 587.7343849458.

Adding to 203022092 its reverse (290220302), we get a palindrome (493242394).

The spelling of 203022092 in words is "two hundred three million, twenty-two thousand, ninety-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 43 49 52 68 86 91 98 109 119 172 182 196 218 221 238 301 364 436 442 476 559 602 637 731 763 833 884 1118 1204 1274 1417 1462 1526 1547 1666 1853 2107 2236 2548 2834 2924 3052 3094 3332 3706 3913 4214 4687 5117 5341 5668 6188 7412 7826 8428 9374 9503 9919 10234 10682 10829 12971 15652 18748 19006 19838 20468 21364 21658 24089 25942 27391 32809 35819 38012 39676 43316 48178 51884 54782 60931 65618 66521 69433 71638 79679 90797 96356 109564 121862 131236 133042 138866 143276 159358 168623 181594 229663 243724 266084 277732 318716 337246 363188 426517 459326 465647 557753 674492 853034 918652 931294 1035827 1115506 1180361 1706068 1862588 2071654 2231012 2360722 2985619 3904271 4143308 4721444 5971238 7250789 7808542 11942476 14501578 15617084 29003156 50755523 101511046 203022092