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25223327430 = 23572343121447
BaseRepresentation
bin10111011111011011…
…010110111011000110
32102002212010210110020
4113133123112323012
5403124132434210
615330515240010
71552025513520
oct273733267306
972085123406
1025223327430
11a773a02254
124a7b2a9006
1324bc89a622
141313cbca10
159c95d8770
hex5df6d6ec6

25223327430 has 128 divisors (see below), whose sum is σ = 73871474688. Its totient is φ = 5386372992.

The previous prime is 25223327429. The next prime is 25223327491. The reversal of 25223327430 is 3472332252.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 25223327391 and 25223327400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146967 + ... + 268413.

It is an arithmetic number, because the mean of its divisors is an integer number (577120896).

Almost surely, 225223327430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25223327430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36935737344).

25223327430 is an abundant number, since it is smaller than the sum of its proper divisors (48648147258).

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

25223327430 is a wasteful number, since it uses less digits than its factorization.

25223327430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121530.

The product of its (nonzero) digits is 60480, while the sum is 33.

Adding to 25223327430 its reverse (3472332252), we get a palindrome (28695659682).

The spelling of 25223327430 in words is "twenty-five billion, two hundred twenty-three million, three hundred twenty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 43 46 69 70 86 105 115 129 138 161 210 215 230 258 301 322 345 430 483 602 645 690 805 903 966 989 1290 1505 1610 1806 1978 2415 2967 3010 4515 4830 4945 5934 6923 9030 9890 13846 14835 20769 29670 34615 41538 69230 103845 121447 207690 242894 364341 607235 728682 850129 1214470 1700258 1821705 2550387 2793281 3643410 4250645 5100774 5222221 5586562 8379843 8501290 10444442 12751935 13966405 15666663 16759686 19552967 25503870 26111105 27932810 31333326 36555547 39105934 41899215 52222210 58658901 73111094 78333315 83798430 97764835 109666641 117317802 120111083 156666630 182777735 195529670 219333282 240222166 293294505 360333249 365555470 548333205 586589010 600555415 720666498 840777581 1096666410 1201110830 1681555162 1801666245 2522332743 3603332490 4203887905 5044665486 8407775810 12611663715 25223327430