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14522232420 = 2234517351817
BaseRepresentation
bin11011000011001011…
…11010111001100100
31101111002010211210000
431201211322321210
5214220142414140
610401005501300
71022605640013
oct154145727144
941432124700
1014522232420
116182470183
122993571830
1314a5879547
149ba9b8a7a
1559eddda30
hex36197ae64

14522232420 has 120 divisors (see below), whose sum is σ = 45820999224. Its totient is φ = 3850136064.

The previous prime is 14522232397. The next prime is 14522232451. The reversal of 14522232420 is 2423222541.

14522232420 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 232 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3274357284 + 11247875136 = 57222^2 + 106056^2 .

It is a super-3 number, since 3×145222324203 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 254352 + ... + 306168.

Almost surely, 214522232420 is an apocalyptic number.

14522232420 is a gapful number since it is divisible by the number (10) 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 14522232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22910499612).

14522232420 is an abundant number, since it is smaller than the sum of its proper divisors (31298766804).

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

14522232420 is a wasteful number, since it uses less digits than its factorization.

14522232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52011 (or 52000 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14522232420 its reverse (2423222541), we get a palindrome (16945454961).

The spelling of 14522232420 in words is "fourteen billion, five hundred twenty-two million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 173 180 270 324 346 405 519 540 692 810 865 1038 1557 1620 1730 2076 2595 3114 3460 4671 5190 6228 7785 9342 10380 14013 15570 18684 23355 28026 31140 46710 51817 56052 70065 93420 103634 140130 155451 207268 259085 280260 310902 466353 518170 621804 777255 932706 1036340 1399059 1554510 1865412 2331765 2798118 3109020 4197177 4663530 5596236 6995295 8394354 8964341 9327060 13990590 16788708 17928682 20985885 26893023 27981180 35857364 41971770 44821705 53786046 80679069 83943540 89643410 107572092 134465115 161358138 179286820 242037207 268930230 322716276 403395345 484074414 537860460 726111621 806790690 968148828 1210186035 1452223242 1613581380 2420372070 2904446484 3630558105 4840744140 7261116210 14522232420