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234225054 = 23372329929
BaseRepresentation
bin11011111010111…
…11110110011110
3121022201212101000
431331133312132
5434430200204
635124131130
75542610610
oct1575376636
9538655330
10234225054
11110239828
1266536aa6
13396ab40b
1423170db0
151586a039
hexdf5fd9e

234225054 has 128 divisors (see below), whose sum is σ = 642816000. Its totient is φ = 61737984.

The previous prime is 234225023. The next prime is 234225067. The reversal of 234225054 is 450522432.

It is a happy number.

234225054 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2342250542 = 109722751842605832, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251662 + ... + 252590.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2234225054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234225054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

234225054 is an abundant number, since it is smaller than the sum of its proper divisors (408590946).

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

234225054 is a wasteful number, since it uses less digits than its factorization.

234225054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 234225054 is about 15304.4128930188. The cubic root of 234225054 is about 616.4215065735.

Adding to 234225054 its reverse (450522432), we get a palindrome (684747486).

The spelling of 234225054 in words is "two hundred thirty-four million, two hundred twenty-five thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 29 42 46 54 58 63 69 87 126 138 161 174 189 203 207 261 322 378 406 414 483 522 609 621 667 783 929 966 1218 1242 1334 1449 1566 1827 1858 2001 2787 2898 3654 4002 4347 4669 5481 5574 6003 6503 8361 8694 9338 10962 12006 13006 14007 16722 18009 19509 21367 25083 26941 28014 36018 39018 42021 42734 50166 53882 58527 64101 80823 84042 117054 126063 128202 149569 161646 175581 188587 192303 242469 252126 299138 351162 377174 384606 448707 484938 565761 576909 619643 727407 897414 1131522 1153818 1239286 1346121 1454814 1697283 1858929 2692242 3394566 3717858 4038363 4337501 5091849 5576787 8076726 8675002 10183698 11153574 13012503 16730361 26025006 33460722 39037509 78075018 117112527 234225054