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220423063440 = 24357922375197
BaseRepresentation
bin1100110101001000111…
…1010000011110010000
3210001221122212210200110
43031102033100132100
512102411301012230
6245132211121320
721632201061006
oct3152217203620
9701848783613
10220423063440
1185532089028
12368772a3240
1317a2a551cb8
14a950652a76
155b0140c4b0
hex33523d0790

220423063440 has 160 divisors (see below), whose sum is σ = 692403540480. Its totient is φ = 57998333952.

The previous prime is 220423063429. The next prime is 220423063501. The reversal of 220423063440 is 44360324022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 220423063398 and 220423063407.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42410922 + ... + 42416118.

It is an arithmetic number, because the mean of its divisors is an integer number (4327522128).

Almost surely, 2220423063440 is an apocalyptic number.

220423063440 is a gapful number since it is divisible by the number (20) 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 220423063440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346201770240).

220423063440 is an abundant number, since it is smaller than the sum of its proper divisors (471980477040).

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

220423063440 is a wasteful number, since it uses less digits than its factorization.

220423063440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 220423063440 its reverse (44360324022), we get a palindrome (264783387462).

The spelling of 220423063440 in words is "two hundred twenty billion, four hundred twenty-three million, sixty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2237 2370 3160 3792 4474 4740 5197 6320 6711 8948 9480 10394 11185 13422 15591 17896 18960 20788 22370 25985 26844 31182 33555 35792 41576 44740 51970 53688 62364 67110 77955 83152 89480 103940 107376 124728 134220 155910 176723 178960 207880 249456 268440 311820 353446 410563 415760 530169 536880 623640 706892 821126 883615 1060338 1231689 1247280 1413784 1642252 1767230 2052815 2120676 2463378 2650845 2827568 3284504 3534460 4105630 4241352 4926756 5301690 6158445 6569008 7068920 8211260 8482704 9853512 10603380 11625689 12316890 14137840 16422520 19707024 21206760 23251378 24633780 32845040 34877067 42413520 46502756 49267560 58128445 69754134 93005512 98535120 116256890 139508268 174385335 186011024 232513780 279016536 348770670 465027560 558033072 697541340 918429431 930055120 1395082680 1836858862 2755288293 2790165360 3673717724 4592147155 5510576586 7347435448 9184294310 11021153172 13776441465 14694870896 18368588620 22042306344 27552882930 36737177240 44084612688 55105765860 73474354480 110211531720 220423063440