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102223000 = 2353119293
BaseRepresentation
bin1100001011111…
…00110010011000
321010100110121001
412011330302120
5202132114000
614050554344
72350611145
oct605746230
9233313531
10102223000
115277a720
122a2989b4
13182415a9
14d80d3cc
158e9346a
hex617cc98

102223000 has 64 divisors (see below), whose sum is σ = 260975520. Its totient is φ = 37168000.

The previous prime is 102222949. The next prime is 102223003. The reversal of 102223000 is 322201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223003) 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 15 ways as a sum of consecutive naturals, for example, 6354 + ... + 15646.

Almost surely, 2102223000 is an apocalyptic number.

102223000 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 102223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130487760).

102223000 is an abundant number, since it is smaller than the sum of its proper divisors (158752520).

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

102223000 is a wasteful number, since it uses less digits than its factorization.

102223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 102223000 is about 10110.5390558565. The cubic root of 102223000 is about 467.5731247678.

Adding to 102223000 its reverse (322201), we get a palindrome (102545201).

The spelling of 102223000 in words is "one hundred two million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 9293 11000 18586 37172 46465 74344 92930 102223 185860 204446 232325 371720 408892 464650 511115 817784 929300 1022230 1161625 1858600 2044460 2323250 2555575 4088920 4646500 5111150 9293000 10222300 12777875 20444600 25555750 51111500 102223000