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422400220440 = 233511536037739
BaseRepresentation
bin1100010010110010000…
…00111101110100011000
31111101021210112110200220
412021121000331310120
523410033424023230
6522014210400040
742342320430102
oct6113100756430
91441253473626
10422400220440
11153158a04580
1269a44b90020
1330aa837b053
1416631164572
15aec3230d10
hex625903dd18

422400220440 has 128 divisors (see below), whose sum is σ = 1408483987200. Its totient is φ = 100467960320.

The previous prime is 422400220439. The next prime is 422400220457. The reversal of 422400220440 is 44022004224.

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 422400220440.

It is a congruent number.

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, 2948910 + ... + 3088829.

It is an arithmetic number, because the mean of its divisors is an integer number (11003781150).

Almost surely, 2422400220440 is an apocalyptic number.

422400220440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422400220440 is an abundant number, since it is smaller than the sum of its proper divisors (986083766760).

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

422400220440 is a wasteful number, since it uses less digits than its factorization.

422400220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037817 (or 6037813 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 422400220440 its reverse (44022004224), we get a palindrome (466422224664).

The spelling of 422400220440 in words is "four hundred twenty-two billion, four hundred million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1749 2120 2332 2915 3180 3498 4664 5830 6360 6996 8745 11660 13992 17490 23320 34980 69960 6037739 12075478 18113217 24150956 30188695 36226434 48301912 60377390 66415129 72452868 90566085 120754780 132830258 144905736 181132170 199245387 241509560 265660516 320000167 332075645 362264340 398490774 531321032 640000334 664151290 724528680 796981548 960000501 996226935 1280000668 1328302580 1593963096 1600000835 1920001002 1992453870 2560001336 2656605160 3200001670 3520001837 3840002004 3984907740 4800002505 6400003340 7040003674 7680004008 7969815480 9600005010 10560005511 12800006680 14080007348 17600009185 19200010020 21120011022 28160014696 35200018370 38400020040 42240022044 52800027555 70400036740 84480044088 105600055110 140800073480 211200110220 422400220440