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220124313204 = 2231710730833271
BaseRepresentation
bin1100110100000001101…
…1100111011001110100
3210001011211201201101220
43031000123213121310
512101303311010304
6245042415550340
721621612535035
oct3150033473164
9701154651356
10220124313204
1185399488604
12367b322b3b0
13179b06a1003
14a922ac6a8c
155ad5098ad9
hex33406e7674

220124313204 has 96 divisors (see below), whose sum is σ = 549265038336. Its totient is φ = 68370101760.

The previous prime is 220124313191. The next prime is 220124313257. The reversal of 220124313204 is 402313421022.

It is a happy number.

220124313204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 67294089 + ... + 67297359.

It is an arithmetic number, because the mean of its divisors is an integer number (5721510816).

Almost surely, 2220124313204 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 220124313204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274632519168).

220124313204 is an abundant number, since it is smaller than the sum of its proper divisors (329140725132).

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

220124313204 is a wasteful number, since it uses less digits than its factorization.

220124313204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 220124313204 its reverse (402313421022), we get a palindrome (622437734226).

The spelling of 220124313204 in words is "two hundred twenty billion, one hundred twenty-four million, three hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 107 204 214 321 428 642 1284 1819 3083 3271 3638 5457 6166 6542 7276 9249 9813 10914 12332 13084 18498 19626 21828 36996 39252 52411 55607 104822 111214 157233 166821 209644 222428 314466 329881 333642 349997 628932 659762 667284 699994 989643 1049991 1319524 1399988 1979286 2099982 3958572 4199964 5607977 5949949 10084493 11215954 11899898 16823931 17849847 20168986 22431908 23799796 30253479 33647862 35699694 40337972 60506958 67295724 71399388 121013916 171436381 342872762 514309143 685745524 1028618286 1079040751 2057236572 2158081502 3237122253 4316163004 6474244506 12948489012 18343692767 36687385534 55031078301 73374771068 110062156602 220124313204