Search a number
-
+
225016326054 = 23413163739887
BaseRepresentation
bin1101000110010000000…
…1001010011110100110
3210111210202220201110000
43101210001022132212
512141313134413204
6251212052442130
722154054133132
oct3214401123646
9714722821400
10225016326054
1187479939233
1237739619346
13182b0050780
14ac686b83c2
155cbe7be039
hex346404a7a6

225016326054 has 160 divisors (see below), whose sum is σ = 547675349760. Its totient is φ = 68640447168.

The previous prime is 225016326047. The next prime is 225016326061. The reversal of 225016326054 is 450623610522.

225016326054 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 16 + 32 + 605 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (225016326047) and next prime (225016326061).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 253681999 + ... + 253682885.

It is an arithmetic number, because the mean of its divisors is an integer number (3422970936).

Almost surely, 2225016326054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225016326054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273837674880).

225016326054 is an abundant number, since it is smaller than the sum of its proper divisors (322659023706).

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

225016326054 is a wasteful number, since it uses less digits than its factorization.

225016326054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 225016326054 its reverse (450623610522), we get a palindrome (675639936576).

The spelling of 225016326054 in words is "two hundred twenty-five billion, sixteen million, three hundred twenty-six thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 163 234 326 351 489 702 739 887 978 1053 1467 1478 1774 2106 2119 2217 2661 2934 4238 4401 4434 5322 6357 6651 7983 8802 9607 11531 12714 13203 13302 15966 19071 19214 19953 23062 23949 26406 28821 34593 38142 39906 47898 57213 57642 59859 69186 71847 86463 103779 114426 119718 120457 143694 144581 171639 172926 207558 240914 259389 289162 311337 343278 361371 433743 518778 622674 655493 722742 778167 867486 934011 1084113 1301229 1310986 1556334 1565941 1868022 1879553 1966479 2168226 2602458 3131882 3252339 3759106 3903687 3932958 4697823 5638659 5899437 6504678 7807374 8521409 9395646 9757017 11277318 11711061 11798874 14093469 16915977 17042818 17698311 19514034 23422122 25564227 28186938 33831954 35396622 42280407 50747931 51128454 53094933 76692681 84560814 101495862 106189866 106845359 126841221 152243793 153385362 213690718 230078043 253682442 304487586 320536077 460156086 641072154 690234129 961608231 1380468258 1388989667 1923216462 2777979334 2884824693 4166969001 5769649386 8333938002 8654474079 12500907003 17308948158 25001814006 37502721009 75005442018 112508163027 225016326054