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220514315232 = 25397229103409
BaseRepresentation
bin1100110101011110101…
…1010110101111100000
3210002012000120212121110
43031113223112233200
512103103131041412
6245145231023320
721634356516141
oct3152753265740
9702160525543
10220514315232
1185579644932
12368a196ab40
1317a43421943
14a95c807ac8
155b09434d3c
hex3357ad6be0

220514315232 has 96 divisors (see below), whose sum is σ = 587377072800. Its totient is φ = 72428617728.

The previous prime is 220514315159. The next prime is 220514315261. The reversal of 220514315232 is 232513415022.

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 220514315232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2080744 + ... + 2184152.

It is an arithmetic number, because the mean of its divisors is an integer number (6118511175).

Almost surely, 2220514315232 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 220514315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293688536400).

220514315232 is an abundant number, since it is smaller than the sum of its proper divisors (366862757568).

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

220514315232 is a wasteful number, since it uses less digits than its factorization.

220514315232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103748 (or 103740 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 220514315232 in words is "two hundred twenty billion, five hundred fourteen million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 229 291 388 458 582 687 776 916 1164 1374 1552 1832 2328 2748 3104 3664 4656 5496 7328 9312 10992 21984 22213 44426 66639 88852 103409 133278 177704 206818 266556 310227 355408 413636 533112 620454 710816 827272 1066224 1240908 1654544 2132448 2481816 3309088 4963632 9927264 10030673 20061346 23680661 30092019 40122692 47361322 60184038 71041983 80245384 94722644 120368076 142083966 160490768 189445288 240736152 284167932 320981536 378890576 481472304 568335864 757781152 962944608 1136671728 2273343456 2297024117 4594048234 6891072351 9188096468 13782144702 18376192936 27564289404 36752385872 55128578808 73504771744 110257157616 220514315232