Search a number
-
+
203164032 = 2733171669
BaseRepresentation
bin11000001110000…
…00100110000000
3112011021210122210
430013000212000
5404002222112
632054302120
75014602651
oct1407004600
9464253583
10203164032
11a4754165
1258057940
1333124506
141cda7528
1512c81b3c
hexc1c0980

203164032 has 64 divisors (see below), whose sum is σ = 541681200. Its totient is φ = 67467264.

The previous prime is 203164019. The next prime is 203164043. The reversal of 203164032 is 230461302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 120894 + ... + 122562.

Almost surely, 2203164032 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 203164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270840600).

203164032 is an abundant number, since it is smaller than the sum of its proper divisors (338517168).

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

203164032 is a wasteful number, since it uses less digits than its factorization.

203164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 203164032 is about 14253.5620811080. The cubic root of 203164032 is about 587.8713217425.

The spelling of 203164032 in words is "two hundred three million, one hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 317 384 634 951 1268 1669 1902 2536 3338 3804 5007 5072 6676 7608 10014 10144 13352 15216 20028 20288 26704 30432 40056 40576 53408 60864 80112 106816 121728 160224 213632 320448 529073 640896 1058146 1587219 2116292 3174438 4232584 6348876 8465168 12697752 16930336 25395504 33860672 50791008 67721344 101582016 203164032