Search a number
-
+
221545544455320 = 233519120507471353
BaseRepresentation
bin110010010111111010010111…
…011110101001010010011000
31002001102112202220122202022020
4302113322113132221102120
5213014300233340032240
62103104341301054440
764444065056422521
oct6227722736512230
91061375686582266
10221545544455320
1164655a3518a098
1220a210166b7420
139680869618b57
143c9cc0c1c5848
151a92d949080d0
hexc97e977a9498

221545544455320 has 128 divisors (see below), whose sum is σ = 668150403747840. Its totient is φ = 58766508200960.

The previous prime is 221545544455273. The next prime is 221545544455327. The reversal of 221545544455320 is 23554445545122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221545544455327) 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, 469784764 + ... + 470256116.

It is an arithmetic number, because the mean of its divisors is an integer number (5219925029280).

Almost surely, 2221545544455320 is an apocalyptic number.

221545544455320 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 221545544455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334075201873920).

221545544455320 is an abundant number, since it is smaller than the sum of its proper divisors (446604859292520).

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

221545544455320 is a wasteful number, since it uses less digits than its factorization.

221545544455320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492065 (or 492061 counting only the distinct ones).

The product of its (nonzero) digits is 19200000, while the sum is 51.

The spelling of 221545544455320 in words is "two hundred twenty-one trillion, five hundred forty-five billion, five hundred forty-four million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 20507 22920 41014 61521 82028 102535 123042 164056 205070 246084 307605 410140 471353 492168 615210 820280 942706 1230420 1414059 1885412 2356765 2460840 2828118 3770824 3916837 4713530 5656236 7070295 7833674 9427060 11312472 11750511 14140590 15667348 18854120 19584185 23501022 28281180 31334696 39168370 47002044 56562360 58752555 78336740 90028423 94004088 117505110 156673480 180056846 235010220 270085269 360113692 450142115 470020440 540170538 720227384 900284230 1080341076 1350426345 1800568460 2160682152 2700852690 3601136920 5401705380 9666035971 10803410760 19332071942 28998107913 38664143884 48330179855 57996215826 77328287768 96660359710 115992431652 144990539565 193320719420 231984863304 289981079130 386641438840 579962158260 1159924316520 1846212870461 3692425740922 5538638611383 7384851481844 9231064352305 11077277222766 14769702963688 18462128704610 22154554445532 27693193056915 36924257409220 44309108891064 55386386113830 73848514818440 110772772227660 221545544455320