Search a number
-
+
220573623072 = 253112011103867
BaseRepresentation
bin1100110101101100110…
…1100110001100100000
3210002100011012000200010
43031123031212030200
512103213321414242
6245155150124520
721636006601245
oct3153315461440
9702304160603
10220573623072
11855aa072780
12368b97b0740
1317a527b883a
14a9666455cc
155b0e74c89c
hex335b366320

220573623072 has 96 divisors (see below), whose sum is σ = 631962825984. Its totient is φ = 66806611200.

The previous prime is 220573623071. The next prime is 220573623079. The reversal of 220573623072 is 270326375022.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220573623072.

It is not an unprimeable number, because it can be changed into a prime (220573623071) 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, 2071683 + ... + 2175549.

It is an arithmetic number, because the mean of its divisors is an integer number (6582946104).

Almost surely, 2220573623072 is an apocalyptic number.

220573623072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220573623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315981412992).

220573623072 is an abundant number, since it is smaller than the sum of its proper divisors (411389202912).

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

220573623072 is a wasteful number, since it uses less digits than its factorization.

220573623072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105902 (or 105894 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

Adding to 220573623072 its reverse (270326375022), we get a palindrome (490899998094).

The spelling of 220573623072 in words is "two hundred twenty billion, five hundred seventy-three million, six hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2011 4022 6033 8044 12066 16088 22121 24132 32176 44242 48264 64352 66363 88484 96528 103867 132726 176968 193056 207734 265452 311601 353936 415468 530904 623202 707872 830936 1061808 1142537 1246404 1661872 2123616 2285074 2492808 3323744 3427611 4570148 4985616 6855222 9140296 9971232 13710444 18280592 27420888 36561184 54841776 109683552 208876537 417753074 626629611 835506148 1253259222 1671012296 2297641907 2506518444 3342024592 4595283814 5013036888 6684049184 6892925721 9190567628 10026073776 13785851442 18381135256 20052147552 27571702884 36762270512 55143405768 73524541024 110286811536 220573623072