Search a number
-
+
220152350000 = 245511400277
BaseRepresentation
bin1100110100001000011…
…0100100010100110000
3210001020210111010122202
43031002012210110300
512101333000200000
6245045300522332
721622403046002
oct3150206442460
9701223433582
10220152350000
1185403298010
12368006b03a8
13179b643952b
14a926704372
155ad7785dd5
hex33421a4530

220152350000 has 120 divisors (see below), whose sum is σ = 581616742896. Its totient is φ = 80055200000.

The previous prime is 220152349993. The next prime is 220152350009. The reversal of 220152350000 is 53251022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (220152350009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349862 + ... + 750138.

Almost surely, 2220152350000 is an apocalyptic number.

220152350000 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 220152350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290808371448).

220152350000 is an abundant number, since it is smaller than the sum of its proper divisors (361464392896).

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

220152350000 is an equidigital number, since it uses as much as digits as its factorization.

220152350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400321 (or 400295 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 220152350000 in words is "two hundred twenty billion, one hundred fifty-two million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 3125 4400 5000 5500 6250 6875 10000 11000 12500 13750 22000 25000 27500 34375 50000 55000 68750 110000 137500 275000 400277 550000 800554 1601108 2001385 3202216 4002770 4403047 6404432 8005540 8806094 10006925 16011080 17612188 20013850 22015235 32022160 35224376 40027700 44030470 50034625 70448752 80055400 88060940 100069250 110076175 160110800 176121880 200138500 220152350 250173125 352243760 400277000 440304700 500346250 550380875 800554000 880609400 1000692500 1100761750 1250865625 1761218800 2001385000 2201523500 2501731250 2751904375 4002770000 4403047000 5003462500 5503808750 8806094000 10006925000 11007617500 13759521875 20013850000 22015235000 27519043750 44030470000 55038087500 110076175000 220152350000