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2223201031440 = 2435131325121751
BaseRepresentation
bin100000010110100001000…
…110111001010100010000
321212112110200222001100020
4200112201012321110100
5242411103431001230
64421154025423440
7316422664653114
oct40264106712420
97775420861306
102223201031440
11787944029334
122baa5563ab80
1313185449b2cc
147986402d744
153cc6d221810
hex205a11b9510

2223201031440 has 160 divisors (see below), whose sum is σ = 6946988792832. Its totient is φ = 588120000000.

The previous prime is 2223201031417. The next prime is 2223201031481. The reversal of 2223201031440 is 441301023222.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2223201031440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102200565 + ... + 102222315.

Almost surely, 22223201031440 is an apocalyptic number.

2223201031440 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 2223201031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473494396416).

2223201031440 is an abundant number, since it is smaller than the sum of its proper divisors (4723787761392).

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

2223201031440 is a wasteful number, since it uses less digits than its factorization.

2223201031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25149 (or 25143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2223201031440 its reverse (441301023222), we get a palindrome (2664502054662).

The spelling of 2223201031440 in words is "two trillion, two hundred twenty-three billion, two hundred one million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3251 3930 5240 6288 6502 7860 9753 10480 13004 15720 16255 19506 21751 26008 31440 32510 39012 43502 48765 52016 65020 65253 78024 87004 97530 108755 130040 130506 156048 174008 195060 217510 260080 261012 326265 348016 390120 425881 435020 522024 652530 780240 851762 870040 1044048 1277643 1305060 1703524 1740080 2129405 2555286 2610120 2849381 3407048 4258810 5110572 5220240 5698762 6388215 6814096 8517620 8548143 10221144 11397524 12776430 14246905 17035240 17096286 20442288 22795048 25552860 28493810 34070480 34192572 42740715 45590096 51105720 56987620 68385144 70712501 85481430 102211440 113975240 136770288 141425002 170962860 212137503 227950480 282850004 341925720 353562505 424275006 565700008 683851440 707125010 848550012 1060687515 1131400016 1414250020 1697100024 2121375030 2828500040 3394200048 4242750060 5657000080 8485500120 9263337631 16971000240 18526675262 27790012893 37053350524 46316688155 55580025786 74106701048 92633376310 111160051572 138950064465 148213402096 185266752620 222320103144 277900128930 370533505240 444640206288 555800257860 741067010480 1111600515720 2223201031440