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1220432325 = 352723531907
BaseRepresentation
bin100100010111110…
…0101000111000101
310011001110101102020
41020233211013011
54444412313300
6321034033353
742146334510
oct11057450705
93131411366
101220432325
115769a1962
122a0878859
13165ac9608
14b812bd77
15722248a0
hex48be51c5

1220432325 has 96 divisors (see below), whose sum is σ = 2452985856. Its totient is φ = 523311360.

The previous prime is 1220432303. The next prime is 1220432341. The reversal of 1220432325 is 5232340221.

It is not a de Polignac number, because 1220432325 - 25 = 1220432293 is a prime.

It is a super-3 number, since 3×12204323253 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220432295 and 1220432304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639022 + ... + 640928.

It is an arithmetic number, because the mean of its divisors is an integer number (25551936).

Almost surely, 21220432325 is an apocalyptic number.

1220432325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1220432325 is an abundant number, since it is smaller than the sum of its proper divisors (1232553531).

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

1220432325 is a wasteful number, since it uses less digits than its factorization.

1220432325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1220432325 is about 34934.6865593496. The cubic root of 1220432325 is about 1068.6559316680.

Adding to 1220432325 its reverse (5232340221), we get a palindrome (6452772546).

The spelling of 1220432325 in words is "one billion, two hundred twenty million, four hundred thirty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 53 69 75 105 115 159 161 175 265 345 371 483 525 575 795 805 1113 1219 1325 1725 1855 1907 2415 3657 3975 4025 5565 5721 6095 8533 9275 9535 12075 13349 18285 25599 27825 28605 30475 40047 42665 43861 47675 66745 91425 101071 127995 131583 143025 200235 213325 219305 303213 307027 333725 505355 639975 657915 707497 921081 1001175 1096525 1516065 1535135 2122491 2324633 2526775 3289575 3537485 4605405 6973899 7580325 7675675 10612455 11623165 16272431 17687425 23027025 34869495 48817293 53062275 58115825 81362155 174347475 244086465 406810775 1220432325