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202234320 = 24355101103
BaseRepresentation
bin11000000110111…
…01100111010000
3112002112120100000
430003131213100
5403232444240
632022330000
75003651301
oct1403354720
9462476300
10202234320
11a4179702
1257889900
1332b8a2a2
141cc047a8
1512b4b430
hexc0dd9d0

202234320 has 240 divisors, whose sum is σ = 718204032. Its totient is φ = 52876800.

The previous prime is 202234303. The next prime is 202234321. The reversal of 202234320 is 23432202.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 202234293 and 202234302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202234321) 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 47 ways as a sum of consecutive naturals, for example, 1963389 + ... + 1963491.

Almost surely, 2202234320 is an apocalyptic number.

202234320 is a gapful number since it is divisible by the number (20) 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 202234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359102016).

202234320 is an abundant number, since it is smaller than the sum of its proper divisors (515969712).

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

202234320 is a wasteful number, since it uses less digits than its factorization.

202234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 202234320 is about 14220.9113632003. The cubic root of 202234320 is about 586.9732184622.

Adding to 202234320 its reverse (23432202), we get a palindrome (225666522).

The spelling of 202234320 in words is "two hundred two million, two hundred thirty-four thousand, three hundred twenty".