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202200064 = 2101129619
BaseRepresentation
bin11000000110101…
…01010000000000
3112002110211100021
430003111100000
5403230400224
632021503224
75003446363
oct1403252000
9462424307
10202200064
11a41559a0
1257871b14
1332b77811
141cbd60da
1512b411e4
hexc0d5400

202200064 has 88 divisors (see below), whose sum is σ = 456890400. Its totient is φ = 88596480.

The previous prime is 202200059. The next prime is 202200077. The reversal of 202200064 is 460002202.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326347 + ... + 326965.

Almost surely, 2202200064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228445200).

202200064 is an abundant number, since it is smaller than the sum of its proper divisors (254690336).

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

202200064 is a wasteful number, since it uses less digits than its factorization.

202200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 202200064 is about 14219.7068886809. The cubic root of 202200064 is about 586.9400745824.

Adding to 202200064 its reverse (460002202), we get a palindrome (662202266).

The spelling of 202200064 in words is "two hundred two million, two hundred thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 619 638 704 928 1024 1238 1276 1408 1856 2476 2552 2816 3712 4952 5104 5632 6809 7424 9904 10208 11264 13618 14848 17951 19808 20416 27236 29696 35902 39616 40832 54472 71804 79232 81664 108944 143608 158464 163328 197461 217888 287216 316928 326656 394922 435776 574432 633856 789844 871552 1148864 1579688 1743104 2297728 3159376 3486208 4595456 6318752 6972416 9190912 12637504 18381824 25275008 50550016 101100032 202200064