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201330140 = 225114719471
BaseRepresentation
bin11000000000000…
…00110111011100
3112000211122000212
430000000313130
5403020031030
631551111552
74663164224
oct1400006734
9460748025
10201330140
11a3711350
12575125b8
133293187b
141ca4b084
1512a1d595
hexc000ddc

201330140 has 48 divisors (see below), whose sum is σ = 471066624. Its totient is φ = 71649600.

The previous prime is 201330139. The next prime is 201330163. The reversal of 201330140 is 41033102.

201330140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605 + ... + 20075.

It is an arithmetic number, because the mean of its divisors is an integer number (9813888).

Almost surely, 2201330140 is an apocalyptic number.

201330140 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 201330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235533312).

201330140 is an abundant number, since it is smaller than the sum of its proper divisors (269736484).

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

201330140 is a wasteful number, since it uses less digits than its factorization.

201330140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19538 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 201330140 is about 14189.0852418329. The cubic root of 201330140 is about 586.0971350976.

Adding to 201330140 its reverse (41033102), we get a palindrome (242363242).

The spelling of 201330140 in words is "two hundred one million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 19471 38942 77884 97355 194710 214181 389420 428362 856724 915137 1070905 1830274 2141810 3660548 4283620 4575685 9151370 10066507 18302740 20133014 40266028 50332535 100665070 201330140