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220124797396 = 227231612932027
BaseRepresentation
bin1100110100000001110…
…1011101100111010100
3210001011212122022120221
43031000131131213110
512101303422004041
6245042434204124
721621616622500
oct3150035354724
9701155568527
10220124797396
1185399789369
12367b3423644
13179b081050a
14a922bb1300
155ad51422d1
hex334075d9d4

220124797396 has 144 divisors (see below), whose sum is σ = 471986790912. Its totient is φ = 89448710400.

The previous prime is 220124797391. The next prime is 220124797397. The reversal of 220124797396 is 693797421022.

220124797396 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 not an unprimeable number, because it can be changed into a prime (220124797391) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 108595335 + ... + 108597361.

It is an arithmetic number, because the mean of its divisors is an integer number (3277686048).

Almost surely, 2220124797396 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 220124797396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235993395456).

220124797396 is an abundant number, since it is smaller than the sum of its proper divisors (251861993516).

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

220124797396 is a wasteful number, since it uses less digits than its factorization.

220124797396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 220124797396 in words is "two hundred twenty billion, one hundred twenty-four million, seven hundred ninety-seven thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 49 61 62 98 122 124 196 217 244 293 427 434 586 854 868 1172 1519 1708 1891 2027 2051 2989 3038 3782 4054 4102 5978 6076 7564 8108 8204 9083 11956 13237 14189 14357 17873 18166 26474 28378 28714 35746 36332 52948 56756 57428 62837 63581 71492 92659 99323 123647 125111 125674 127162 185318 198646 247294 250222 251348 254324 370636 397292 439859 445067 494588 500444 554063 593911 865529 875777 879718 890134 1108126 1187822 1731058 1751554 1759436 1780268 2216252 2375644 3079013 3462116 3503108 3833057 3878441 4157377 6058703 6158026 7666114 7756882 8314754 12117406 12316052 15332228 15513764 16629508 18411241 24234812 26831399 27149087 29101639 36228571 36822482 53662798 54298174 58203278 72457142 73644964 107325596 108596348 116406556 128878687 144914284 187819793 253599997 257757374 375639586 507199994 515514748 751279172 902150809 1014399988 1123085701 1775199979 1804301618 2246171402 3550399958 3608603236 4492342804 7100799916 7861599907 15723199814 31446399628 55031199349 110062398698 220124797396