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32530300224 = 2631783120077
BaseRepresentation
bin11110010010111101…
…001111110101000000
310002222002111110202020
4132102331033311000
51013110224101344
622535541121440
72231062663302
oct362275176500
9102862443666
1032530300224
1112883563044
12637a3b9280
1330b5673076
141808505972
15ca5d3c719
hex792f4fd40

32530300224 has 112 divisors (see below), whose sum is σ = 92231431488. Its totient is φ = 10082541568.

The previous prime is 32530300193. The next prime is 32530300267. The reversal of 32530300224 is 42200303523.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 32530300194 and 32530300203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210874 + ... + 330950.

It is an arithmetic number, because the mean of its divisors is an integer number (823494924).

Almost surely, 232530300224 is an apocalyptic number.

32530300224 is a gapful number since it is divisible by the number (34) 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 32530300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46115715744).

32530300224 is an abundant number, since it is smaller than the sum of its proper divisors (59701131264).

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

32530300224 is a wasteful number, since it uses less digits than its factorization.

32530300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120192 (or 120182 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 32530300224 its reverse (42200303523), we get a palindrome (74730603747).

The spelling of 32530300224 in words is "thirty-two billion, five hundred thirty million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 136 166 192 204 249 272 332 408 498 544 664 816 996 1088 1328 1411 1632 1992 2656 2822 3264 3984 4233 5312 5644 7968 8466 11288 15936 16932 22576 33864 45152 67728 90304 120077 135456 240154 270912 360231 480308 720462 960616 1440924 1921232 2041309 2881848 3842464 4082618 5763696 6123927 7684928 8165236 9966391 11527392 12247854 16330472 19932782 23054784 24495708 29899173 32660944 39865564 48991416 59798346 65321888 79731128 97982832 119596692 130643776 159462256 169428647 195965664 239193384 318924512 338857294 391931328 478386768 508285941 637849024 677714588 956773536 1016571882 1355429176 1913547072 2033143764 2710858352 4066287528 5421716704 8132575056 10843433408 16265150112 32530300224