Search a number
-
+
2277070046000 = 245364313011361
BaseRepresentation
bin100001001000101011111…
…100111000001100110000
322001200111221000112011122
4201020223330320030300
5244301414412433000
64502023241401412
7323340630015521
oct41105374701460
98050457015148
102277070046000
117a8777750282
1230938a199268
1313695a98a559
147c2d4538848
153e3725b6085
hex2122bf38330

2277070046000 has 160 divisors (see below), whose sum is σ = 5522811892416. Its totient is φ = 908044800000.

The previous prime is 2277070045949. The next prime is 2277070046003. The reversal of 2277070046000 is 6400707722.

It is not an unprimeable number, because it can be changed into a prime (2277070046003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1673085320 + ... + 1673086680.

Almost surely, 22277070046000 is an apocalyptic number.

2277070046000 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 2277070046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761405946208).

2277070046000 is an abundant number, since it is smaller than the sum of its proper divisors (3245741846416).

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

2277070046000 is a wasteful number, since it uses less digits than its factorization.

2277070046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The spelling of 2277070046000 in words is "two trillion, two hundred seventy-seven billion, seventy million, forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 643 1000 1286 1301 1361 2000 2572 2602 2722 3215 5144 5204 5444 6430 6505 6805 10288 10408 10888 12860 13010 13610 16075 20816 21776 25720 26020 27220 32150 32525 34025 51440 52040 54440 64300 65050 68050 80375 104080 108880 128600 130100 136100 160750 162625 170125 257200 260200 272200 321500 325250 340250 520400 544400 643000 650500 680500 836543 875123 1286000 1301000 1361000 1673086 1750246 1770661 2602000 2722000 3346172 3500492 3541322 4182715 4375615 6692344 7000984 7082644 8365430 8751230 8853305 13384688 14001968 14165288 16730860 17502460 17706610 20913575 21878075 28330576 33461720 35004920 35413220 41827150 43756150 44266525 66923440 70009840 70826440 83654300 87512300 88533050 104567875 109390375 141652880 167308600 175024600 177066100 209135750 218780750 221332625 334617200 350049200 354132200 418271500 437561500 442665250 708264400 836543000 875123000 885330500 1138535023 1673086000 1750246000 1770661000 2277070046 3541322000 4554140092 5692675115 9108280184 11385350230 18216560368 22770700460 28463375575 45541400920 56926751150 91082801840 113853502300 142316877875 227707004600 284633755750 455414009200 569267511500 1138535023000 2277070046000