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201332020 = 225174347293
BaseRepresentation
bin11000000000000…
…01010100110100
3112000211201121111
430000001110310
5403020111040
631551124404
74663202551
oct1400012464
9460751544
10201332020
11a37127aa
1257513704
1332932696
141ca4ba28
1512a1ddea
hexc001534

201332020 has 96 divisors (see below), whose sum is σ = 469421568. Its totient is φ = 72210432.

The previous prime is 201331997. The next prime is 201332057. The reversal of 201332020 is 20233102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686994 + ... + 687286.

It is an arithmetic number, because the mean of its divisors is an integer number (4889808).

Almost surely, 2201332020 is an apocalyptic number.

201332020 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 201332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234710784).

201332020 is an abundant number, since it is smaller than the sum of its proper divisors (268089548).

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

201332020 is a wasteful number, since it uses less digits than its factorization.

201332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 201332020 is about 14189.1514897826. The cubic root of 201332020 is about 586.0989593967.

Adding to 201332020 its reverse (20233102), we get a palindrome (221565122).

The spelling of 201332020 in words is "two hundred one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 43 47 68 85 86 94 170 172 188 215 235 293 340 430 470 586 731 799 860 940 1172 1462 1465 1598 2021 2924 2930 3196 3655 3995 4042 4981 5860 7310 7990 8084 9962 10105 12599 13771 14620 15980 19924 20210 24905 25198 27542 34357 40420 49810 50396 55084 62995 68714 68855 99620 125990 137428 137710 171785 214183 234107 251980 275420 343570 428366 468214 592153 687140 856732 936428 1070915 1170535 1184306 2141830 2341070 2368612 2960765 4283660 4682140 5921530 10066601 11843060 20133202 40266404 50333005 100666010 201332020