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200127664 = 241110710627
BaseRepresentation
bin10111110110110…
…11010010110000
3111221120112112201
423323123102300
5402213041124
631505232544
74650025402
oct1373332260
9457515481
10200127664
11a2a6a970
1257032754
1332600449
141c816b72
1512882144
hexbedb4b0

200127664 has 40 divisors (see below), whose sum is σ = 426990528. Its totient is φ = 90108480.

The previous prime is 200127659. The next prime is 200127673. The reversal of 200127664 is 466721002.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 13519 + ... + 24145.

Almost surely, 2200127664 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 200127664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213495264).

200127664 is an abundant number, since it is smaller than the sum of its proper divisors (226862864).

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

200127664 is a wasteful number, since it uses less digits than its factorization.

200127664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10753 (or 10747 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 200127664 is about 14146.6485076855. The cubic root of 200127664 is about 584.9279517766.

Adding to 200127664 its reverse (466721002), we get a palindrome (666848666).

The spelling of 200127664 in words is "two hundred million, one hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 856 1177 1712 2354 4708 9416 10627 18832 21254 42508 85016 116897 170032 233794 467588 935176 1137089 1870352 2274178 4548356 9096712 12507979 18193424 25015958 50031916 100063832 200127664