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102244320 = 253251937101
BaseRepresentation
bin1100001100000…
…01111111100000
321010101112211200
412012001333200
5202133304240
614051241200
72351030253
oct606017740
9233345750
10102244320
1152794742
122a2a9200
131824b1c9
14d81709a
158e99930
hex6181fe0

102244320 has 288 divisors, whose sum is σ = 380933280. Its totient is φ = 24883200.

The previous prime is 102244319. The next prime is 102244327. The reversal of 102244320 is 23442201.

Added to its reverse (23442201) it gives a square (125686521 = 112112).

102244320 is a `hidden beast` number, since 10 + 224 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 102244293 and 102244302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102244327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012270 + ... + 1012370.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2102244320 is an apocalyptic number.

102244320 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 102244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190466640).

102244320 is an abundant number, since it is smaller than the sum of its proper divisors (278688960).

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

102244320 is a wasteful number, since it uses less digits than its factorization.

102244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102244320 is about 10111.5933462536. The cubic root of 102244320 is about 467.6056287577.

Adding to 102244320 its reverse (23442201), we get a palindrome (125686521).

The spelling of 102244320 in words is "one hundred two million, two hundred forty-four thousand, three hundred twenty".