Search a number
-
+
203252256272 = 241313945715383
BaseRepresentation
bin1011110101001011000…
…1110100111000010000
3201102121222222102101102
42331102301310320100
511312230034200042
6233212305123532
720453531446502
oct2752261647020
9642558872342
10203252256272
11792206664aa
12334849295a8
1316222056080
149ba1dcdd72
155448c45b32
hex2f52c74e10

203252256272 has 80 divisors (see below), whose sum is σ = 428107182720. Its totient is φ = 92924015616.

The previous prime is 203252256227. The next prime is 203252256281. The reversal of 203252256272 is 272652252302.

It is a super-2 number, since 2×2032522562722 (a number of 23 digits) contains 22 as substring.

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, 13205093 + ... + 13220475.

It is an arithmetic number, because the mean of its divisors is an integer number (5351339784).

Almost surely, 2203252256272 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 203252256272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214053591360).

203252256272 is an abundant number, since it is smaller than the sum of its proper divisors (224854926448).

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

203252256272 is a wasteful number, since it uses less digits than its factorization.

203252256272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16000 (or 15994 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 203252256272 in words is "two hundred three billion, two hundred fifty-two million, two hundred fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 139 208 278 457 556 914 1112 1807 1828 2224 3614 3656 5941 7228 7312 11882 14456 15383 23764 28912 30766 47528 61532 63523 95056 123064 127046 199979 246128 254092 399958 508184 799916 825799 1016368 1599832 1651598 2138237 3199664 3303196 4276474 6606392 7030031 8552948 13212784 14060062 17105896 27797081 28120124 34211792 55594162 56240248 91390403 111188324 112480496 182780806 222376648 365561612 444753296 731123224 977174309 1462246448 1954348618 3908697236 7817394472 12703266017 15634788944 25406532034 50813064068 101626128136 203252256272