Search a number
-
+
20230062174 = 234797353521
BaseRepresentation
bin10010110101110011…
…100100000001011110
31221012212102122020000
4102311303210001132
5312412343442144
613143224235130
71314214456050
oct226563440136
957185378200
1020230062174
118641385153
123b0700baa6
131ba52592ba
14d9ca918d0
157d6062769
hex4b5ce405e

20230062174 has 160 divisors (see below), whose sum is σ = 52589186496. Its totient is φ = 5693276160.

The previous prime is 20230062157. The next prime is 20230062217. The reversal of 20230062174 is 47126003202.

20230062174 is a `hidden beast` number, since 2 + 0 + 2 + 30 + 0 + 621 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38829034 + ... + 38829554.

Almost surely, 220230062174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20230062174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26294593248).

20230062174 is an abundant number, since it is smaller than the sum of its proper divisors (32359124322).

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

20230062174 is a wasteful number, since it uses less digits than its factorization.

20230062174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 20230062174 its reverse (47126003202), we get a palindrome (67356065376).

The spelling of 20230062174 in words is "twenty billion, two hundred thirty million, sixty-two thousand, one hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 97 126 162 189 194 291 353 378 521 567 582 679 706 873 1042 1059 1134 1358 1563 1746 2037 2118 2471 2619 3126 3177 3647 4074 4689 4942 5238 6111 6354 7294 7413 7857 9378 9531 10941 12222 14067 14826 15714 18333 19062 21882 22239 28134 28593 32823 34241 36666 42201 44478 50537 54999 57186 65646 66717 68482 84402 98469 101074 102723 109998 133434 151611 183913 196938 200151 205446 239687 295407 303222 308169 353759 367826 400302 454833 479374 551739 590814 616338 707518 719061 909666 924507 1061277 1103478 1287391 1364499 1438122 1655217 1849014 2122554 2157183 2574782 2728998 2773521 3183831 3310434 3862173 4093497 4314366 4965651 5547042 6367662 6471549 7724346 8186994 9551493 9931302 11586519 12943098 14896953 17839561 19102986 19414647 23173038 28654479 29793906 34759557 35679122 38829294 53518683 57308958 69519114 104278671 107037366 124876927 160556049 208557342 249753854 321112098 374630781 481668147 749261562 963336294 1123892343 1445004441 2247784686 2890008882 3371677029 6743354058 10115031087 20230062174