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102223320 = 23351794759
BaseRepresentation
bin1100001011111…
…00110111011000
321010100111000220
412011330313120
5202132121240
614051000040
72350612113
oct605746730
9233314026
10102223320
115277a991
122a299020
1318241794
14d80d57a
158e935d0
hex617cdd8

102223320 has 64 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 27101568.

The previous prime is 102223309. The next prime is 102223327. The reversal of 102223320 is 23322201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102223320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19101 + ... + 23859.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2102223320 is an apocalyptic number.

102223320 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 102223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

102223320 is an abundant number, since it is smaller than the sum of its proper divisors (206224680).

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

102223320 is a wasteful number, since it uses less digits than its factorization.

102223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 102223320 is about 10110.5548809153. The cubic root of 102223320 is about 467.5736126660.

Adding to 102223320 its reverse (23322201), we get a palindrome (125545521).

It can be divided in two parts, 1022 and 23320, that added together give a palindrome (24342).

The spelling of 102223320 in words is "one hundred two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 4759 5370 7160 9518 10740 14277 19036 21480 23795 28554 38072 47590 57108 71385 95180 114216 142770 190360 285540 571080 851861 1703722 2555583 3407444 4259305 5111166 6814888 8518610 10222332 12777915 17037220 20444664 25555830 34074440 51111660 102223320