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210220031328 = 2534749099491
BaseRepresentation
bin1100001111001000010…
…1110001110101100000
3202002121121002001212020
43003302011301311200
511421012312000303
6240323532501440
721121306532466
oct3036205616540
9662547061766
10210220031328
11811767aaa8a
12348aa31a880
1316a927883a8
14a26355c836
1557057e6a53
hex30f2171d60

210220031328 has 96 divisors (see below), whose sum is σ = 563742789120. Its totient is φ = 68561226240.

The previous prime is 210220031327. The next prime is 210220031387. The reversal of 210220031328 is 823130022012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 210220031298 and 210220031307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220031321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22144663 + ... + 22154153.

It is an arithmetic number, because the mean of its divisors is an integer number (5872320720).

Almost surely, 2210220031328 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 210220031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281871394560).

210220031328 is an abundant number, since it is smaller than the sum of its proper divisors (353522757792).

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

210220031328 is a wasteful number, since it uses less digits than its factorization.

210220031328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14460 (or 14452 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 210220031328 in words is "two hundred ten billion, two hundred twenty million, thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 4909 9491 9818 14727 18982 19636 28473 29454 37964 39272 56946 58908 75928 78544 113892 117816 151856 157088 227784 230723 235632 303712 446077 455568 461446 471264 692169 892154 911136 922892 1338231 1384338 1784308 1845784 2676462 2768676 3568616 3691568 5352924 5537352 7137232 7383136 10705848 11074704 14274464 21411696 22149408 42823392 46591319 93182638 139773957 186365276 279547914 372730552 559095828 745461104 1118191656 1490922208 2189791993 2236383312 4379583986 4472766624 6569375979 8759167972 13138751958 17518335944 26277503916 35036671888 52555007832 70073343776 105110015664 210220031328