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220430421440 = 26519925713469
BaseRepresentation
bin1100110101001010101…
…1010100110111000000
3210001222011201121221222
43031102223110313000
512102420141441230
6245133032534212
721632320444625
oct3152253246700
9701864647858
10220430421440
1185536254219
1236879851368
1317a2bc2a148
14a95160a34c
155b01db26e5
hex3352ad4dc0

220430421440 has 112 divisors (see below), whose sum is σ = 529629624000. Its totient is φ = 87381245952.

The previous prime is 220430421397. The next prime is 220430421509. The reversal of 220430421440 is 44124034022.

It is a happy number.

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, 16359026 + ... + 16372494.

Almost surely, 2220430421440 is an apocalyptic number.

220430421440 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 220430421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264814812000).

220430421440 is an abundant number, since it is smaller than the sum of its proper divisors (309199202560).

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

220430421440 is a wasteful number, since it uses less digits than its factorization.

220430421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13942 (or 13932 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 220430421440 its reverse (44124034022), we get a palindrome (264554455462).

The spelling of 220430421440 in words is "two hundred twenty billion, four hundred thirty million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 199 257 320 398 514 796 995 1028 1285 1592 1990 2056 2570 3184 3980 4112 5140 6368 7960 8224 10280 12736 13469 15920 16448 20560 26938 31840 41120 51143 53876 63680 67345 82240 102286 107752 134690 204572 215504 255715 269380 409144 431008 511430 538760 818288 862016 1022860 1077520 1636576 2045720 2155040 2680331 3273152 3461533 4091440 4310080 5360662 6923066 8182880 10721324 13401655 13846132 16365760 17307665 21442648 26803310 27692264 34615330 42885296 53606620 55384528 69230660 85770592 107213240 110769056 138461320 171541184 214426480 221538112 276922640 428852960 553845280 688845067 857705920 1107690560 1377690134 2755380268 3444225335 5510760536 6888450670 11021521072 13776901340 22043042144 27553802680 44086084288 55107605360 110215210720 220430421440