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20192172 = 22371113412
BaseRepresentation
bin100110100000…
…1101110101100
31101222212110020
41031001232230
520132122142
62000442140
7333426210
oct115015654
941885406
1020192172
1110441750
126919350
13424ca40
142978940
151b8ccec
hex1341bac

20192172 has 144 divisors (see below), whose sum is σ = 64839936. Its totient is φ = 4723200.

The previous prime is 20192171. The next prime is 20192177. The reversal of 20192172 is 27129102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20192171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492472 + ... + 492512.

Almost surely, 220192172 is an apocalyptic number.

20192172 is a gapful number since it is divisible by the number (22) 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 20192172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32419968).

20192172 is an abundant number, since it is smaller than the sum of its proper divisors (44647764).

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

20192172 is a wasteful number, since it uses less digits than its factorization.

20192172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 20192172 is about 4493.5700728930. The cubic root of 20192172 is about 272.3083836536.

The spelling of 20192172 in words is "twenty million, one hundred ninety-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 41 42 44 52 66 77 78 82 84 91 123 132 143 154 156 164 182 231 246 273 286 287 308 364 429 451 462 492 533 546 572 574 858 861 902 924 1001 1066 1092 1148 1353 1599 1681 1716 1722 1804 2002 2132 2706 3003 3157 3198 3362 3444 3731 4004 5043 5412 5863 6006 6314 6396 6724 7462 9471 10086 11193 11726 11767 12012 12628 14924 17589 18491 18942 20172 21853 22386 23452 23534 35178 35301 36982 37884 41041 43706 44772 47068 55473 65559 70356 70602 73964 82082 87412 110946 123123 129437 131118 141204 152971 164164 221892 240383 246246 258874 262236 305942 388311 458913 480766 492492 517748 611884 721149 776622 917826 961532 1442298 1553244 1682681 1835652 2884596 3365362 5048043 6730724 10096086 20192172