Search a number
-
+
220000022192 = 24174749934487
BaseRepresentation
bin1100110011100100000…
…1011110111010110000
3210000212011212002012002
43030321001132322300
512101030001202232
6245022215553132
721615543222416
oct3147101367260
9700764762162
10220000022192
1185335305965
123677968b7a8
1317990a03c32
14a9103b12b6
155ac91e6b62
hex333905eeb0

220000022192 has 80 divisors (see below), whose sum is σ = 461863296000. Its totient is φ = 101120676864.

The previous prime is 220000022189. The next prime is 220000022213. The reversal of 220000022192 is 291220000022.

220000022192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6361973 + ... + 6396459.

It is an arithmetic number, because the mean of its divisors is an integer number (5773291200).

Almost surely, 2220000022192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220000022192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230931648000).

220000022192 is an abundant number, since it is smaller than the sum of its proper divisors (241863273808).

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

220000022192 is a wasteful number, since it uses less digits than its factorization.

220000022192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35058 (or 35052 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

It can be divided in two parts, 220000022 and 192, that multiplied together give a palindrome (42240004224).

The spelling of 220000022192 in words is "two hundred twenty billion, twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 499 752 799 998 1598 1996 3196 3992 6392 7984 8483 12784 16966 23453 33932 34487 46906 67864 68974 93812 135728 137948 187624 275896 375248 398701 551792 586279 797402 1172558 1594804 1620889 2345116 3189608 3241778 4690232 6379216 6483556 9380464 12967112 17209013 25934224 27555113 34418026 55110226 68836052 110220452 137672104 220440904 275344208 292553221 440881808 585106442 808823611 1170212884 1617647222 2340425768 3235294444 4680851536 6470588888 12941177776 13750001387 27500002774 55000005548 110000011096 220000022192