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220497138738 = 2347924672
BaseRepresentation
bin1100110101011010100…
…1110101010000110010
3210002010211021012220000
43031112221311100302
512103034231414423
6245143414530430
721634060516662
oct3152651652062
9702124235800
10220497138738
118556a982988
1236898066a16
1317a3c9b9736
14a95a4161a2
155b07b90843
hex3356a75432

220497138738 has 90 divisors (see below), whose sum is σ = 501484063311. Its totient is φ = 72413285256.

The previous prime is 220497138707. The next prime is 220497138751. The reversal of 220497138738 is 837831794022.

220497138738 is a `hidden beast` number, since 220 + 4 + 9 + 7 + 1 + 387 + 38 = 666.

220497138738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110248569369 + 110248569369 = 332037^2 + 332037^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332037.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 472156381 + ... + 472156847.

Almost surely, 2220497138738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220497138738

220497138738 is an abundant number, since it is smaller than the sum of its proper divisors (280986924573).

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

220497138738 is an frugal number, since it uses more digits than its factorization.

220497138738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 220497138738 in words is "two hundred twenty billion, four hundred ninety-seven million, one hundred thirty-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 467 474 711 934 1401 1422 2133 2802 4203 4266 6241 6399 8406 12482 12609 12798 18723 25218 36893 37446 37827 56169 73786 75654 110679 112338 168507 218089 221358 332037 337014 436178 505521 654267 664074 996111 1011042 1308534 1962801 1992222 2914547 2988333 3925602 5829094 5888403 5976666 8743641 11776806 17229031 17487282 17665209 26230923 34458062 35330418 51687093 52461846 78692769 103374186 155061279 157385538 236078307 310122558 465183837 472156614 930367674 1361093449 1395551511 2722186898 2791103022 4083280347 8166560694 12249841041 24499682082 36749523123 73499046246 110248569369 220497138738