Search a number
-
+
201472354000 = 2453151667127
BaseRepresentation
bin1011101110100010110…
…0000010011011010000
3201021000221210000111001
42323220230002123100
511300103410312000
6232315523431344
720361446516161
oct2735054023320
9637027700431
10201472354000
1178497989595
1233068825554
1315cca381a68
149a73869768
15539285c46a
hex2ee8b026d0

201472354000 has 80 divisors (see below), whose sum is σ = 490387113216. Its totient is φ = 80055120000.

The previous prime is 201472353991. The next prime is 201472354007. The reversal of 201472354000 is 453274102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2014723540002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201472354000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201472354007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31564 + ... + 635563.

Almost surely, 2201472354000 is an apocalyptic number.

201472354000 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 201472354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245193556608).

201472354000 is an abundant number, since it is smaller than the sum of its proper divisors (288914759216).

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

201472354000 is a wasteful number, since it uses less digits than its factorization.

201472354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667301 (or 667285 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 201472354000 in words is "two hundred one billion, four hundred seventy-two million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 200 250 302 400 500 604 755 1000 1208 1510 2000 2416 3020 3775 6040 7550 12080 15100 18875 30200 37750 60400 75500 151000 302000 667127 1334254 2668508 3335635 5337016 6671270 10674032 13342540 16678175 26685080 33356350 53370160 66712700 83390875 100736177 133425400 166781750 201472354 266850800 333563500 402944708 503680885 667127000 805889416 1007361770 1334254000 1611778832 2014723540 2518404425 4029447080 5036808850 8058894160 10073617700 12592022125 20147235400 25184044250 40294470800 50368088500 100736177000 201472354000