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102227328 = 2732721811
BaseRepresentation
bin1100001011111…
…01110110000000
321010100200112100
412011331312000
5202132233303
614051030400
72350626600
oct605756600
9233320470
10102227328
11527829a5
122a29b400
1318243558
14d810c00
158e948a3
hex617dd80

102227328 has 144 divisors (see below), whose sum is σ = 342386460. Its totient is φ = 29191680.

The previous prime is 102227317. The next prime is 102227329. The reversal of 102227328 is 823722201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102227329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55543 + ... + 57353.

Almost surely, 2102227328 is an apocalyptic number.

102227328 is a gapful number since it is divisible by the number (18) 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 102227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171193230).

102227328 is an abundant number, since it is smaller than the sum of its proper divisors (240159132).

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

102227328 is a wasteful number, since it uses less digits than its factorization.

102227328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 102227328 is about 10110.7530876785. The cubic root of 102227328 is about 467.5797235043.

Adding to 102227328 its reverse (823722201), we get a palindrome (925949529).

The spelling of 102227328 in words is "one hundred two million, two hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 1811 2016 2352 2688 3136 3528 3622 4032 4704 5433 6272 7056 7244 8064 9408 10866 12677 14112 14488 16299 18816 21732 25354 28224 28976 32598 38031 43464 50708 56448 57952 65196 76062 86928 88739 101416 114093 115904 130392 152124 173856 177478 202832 228186 231808 260784 266217 304248 347712 354956 405664 456372 521568 532434 608496 695424 709912 798651 811328 912744 1043136 1064868 1216992 1419824 1597302 1622656 1825488 2086272 2129736 2433984 2839648 3194604 3650976 4259472 4867968 5679296 6389208 7301952 8518944 11358592 12778416 14603904 17037888 25556832 34075776 51113664 102227328