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220021012032 = 2639716197297
BaseRepresentation
bin1100110011101001000…
…1100011011001000000
3210000220122100110211120
43030322101203121000
512101100334341112
6245024245512240
721616216513323
oct3147221433100
9700818313746
10220021012032
1185346141938
1236784712680
1317995172a63
14a9130b67ba
155acae90e8c
hex333a463640

220021012032 has 112 divisors (see below), whose sum is σ = 588584283840. Its totient is φ = 72529477632.

The previous prime is 220021012009. The next prime is 220021012033. The reversal of 220021012032 is 230210120022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220021012033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30148608 + ... + 30155904.

It is an arithmetic number, because the mean of its divisors is an integer number (5255216820).

Almost surely, 2220021012032 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 220021012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294292141920).

220021012032 is an abundant number, since it is smaller than the sum of its proper divisors (368563271808).

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

220021012032 is a wasteful number, since it uses less digits than its factorization.

220021012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220021012032 its reverse (230210120022), we get a palindrome (450231132054).

The spelling of 220021012032 in words is "two hundred twenty billion, twenty-one million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 1619 2328 3104 3238 4656 4857 6208 6476 7297 9312 9714 12952 14594 18624 19428 21891 25904 29188 38856 43782 51808 58376 77712 87564 103616 116752 155424 157043 175128 233504 310848 314086 350256 467008 471129 628172 700512 707809 942258 1256344 1401024 1415618 1884516 2123427 2512688 2831236 3769032 4246854 5025376 5662472 7538064 8493708 10050752 11324944 11813843 15076128 16987416 22649888 23627686 30152256 33974832 35441529 45299776 47255372 67949664 70883058 94510744 135899328 141766116 189021488 283532232 378042976 567064464 756085952 1134128928 1145942771 2268257856 2291885542 3437828313 4583771084 6875656626 9167542168 13751313252 18335084336 27502626504 36670168672 55005253008 73340337344 110010506016 220021012032