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201334020 = 223537891019
BaseRepresentation
bin11000000000000…
…01110100000100
3112000211211100120
430000001310010
5403020142040
631551141540
74663211436
oct1400016404
9460754316
10201334020
11a3714258
12575148b0
1332933574
141ca4c656
1512a1e7d0
hexc001d04

201334020 has 96 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 51600384.

The previous prime is 201333961. The next prime is 201334033. The reversal of 201334020 is 20433102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197071 + ... + 198089.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2201334020 is an apocalyptic number.

201334020 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 201334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

201334020 is an abundant number, since it is smaller than the sum of its proper divisors (384717180).

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

201334020 is a wasteful number, since it uses less digits than its factorization.

201334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 201334020 is about 14189.2219659853. The cubic root of 201334020 is about 586.1009001280.

Adding to 201334020 its reverse (20433102), we get a palindrome (221767122).

The spelling of 201334020 in words is "two hundred one million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 89 111 148 178 185 222 267 356 370 444 445 534 555 740 890 1019 1068 1110 1335 1780 2038 2220 2670 3057 3293 4076 5095 5340 6114 6586 9879 10190 12228 13172 15285 16465 19758 20380 30570 32930 37703 39516 49395 61140 65860 75406 90691 98790 113109 150812 181382 188515 197580 226218 272073 362764 377030 452436 453455 544146 565545 754060 906910 1088292 1131090 1360365 1813820 2262180 2720730 3355567 5441460 6711134 10066701 13422268 16777835 20133402 33555670 40266804 50333505 67111340 100667010 201334020