Search a number
-
+
201020023200 = 25352372263739
BaseRepresentation
bin1011101100110110111…
…0100010000110100000
3201012212102122020021110
42323031232202012200
511243142111220300
6232203004423320
720344315001403
oct2731556420640
9635772566243
10201020023200
1178285620787
1232b61247b40
1315c5774a1b9
149a2d761d3a
155367cad550
hex2ecdba21a0

201020023200 has 144 divisors (see below), whose sum is σ = 672004801440. Its totient is φ = 52156523520.

The previous prime is 201020023177. The next prime is 201020023219. The reversal of 201020023200 is 2320020102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043070 + ... + 1220669.

It is an arithmetic number, because the mean of its divisors is an integer number (4666700010).

Almost surely, 2201020023200 is an apocalyptic number.

201020023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020023200 is an abundant number, since it is smaller than the sum of its proper divisors (470984778240).

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

201020023200 is a wasteful number, since it uses less digits than its factorization.

201020023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263799 (or 2263786 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 201020023200 its reverse (2320020102), we get a palindrome (203340043302).

The spelling of 201020023200 in words is "two hundred one billion, twenty million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 74 75 80 96 100 111 120 148 150 160 185 200 222 240 296 300 370 400 444 480 555 592 600 740 800 888 925 1110 1184 1200 1480 1776 1850 2220 2400 2775 2960 3552 3700 4440 5550 5920 7400 8880 11100 14800 17760 22200 29600 44400 88800 2263739 4527478 6791217 9054956 11318695 13582434 18109912 22637390 27164868 33956085 36219824 45274780 54329736 56593475 67912170 72439648 83758343 90549560 108659472 113186950 135824340 167516686 169780425 181099120 217318944 226373900 251275029 271648680 335033372 339560850 362198240 418791715 452747800 502550058 543297360 670066744 679121700 837583430 905495600 1005100116 1086594720 1256375145 1340133488 1358243400 1675166860 1810991200 2010200232 2093958575 2512750290 2680266976 2716486800 3350333720 4020400464 4187917150 5025500580 5432973600 6281875725 6700667440 8040800928 8375834300 10051001160 12563751450 13401334880 16751668600 20102002320 25127502900 33503337200 40204004640 50255005800 67006674400 100510011600 201020023200