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422424032240 = 24575916378437
BaseRepresentation
bin1100010010110100110…
…11110011001111110000
31111101100110100020100102
412021122123303033300
523410111023012430
6522020421011532
742343030013210
oct6113233631760
91441313306312
10422424032240
11153170398751
1269a50b53ba8
1330ab0297482
14166343a2240
15aec5386345
hex625a6f33f0

422424032240 has 160 divisors (see below), whose sum is σ = 1148482920960. Its totient is φ = 141501053952.

The previous prime is 422424032221. The next prime is 422424032273. The reversal of 422424032240 is 42230424224.

It is a congruent number.

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, 5346302 + ... + 5424738.

It is an arithmetic number, because the mean of its divisors is an integer number (7178018256).

Almost surely, 2422424032240 is an apocalyptic number.

422424032240 is a gapful number since it is divisible by the number (40) 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 422424032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574241460480).

422424032240 is an abundant number, since it is smaller than the sum of its proper divisors (726058888720).

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

422424032240 is a wasteful number, since it uses less digits than its factorization.

422424032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78679 (or 78673 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 422424032240 its reverse (42230424224), we get a palindrome (464654456464).

The spelling of 422424032240 in words is "four hundred twenty-two billion, four hundred twenty-four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 163 236 280 295 326 413 472 560 590 652 815 826 944 1141 1180 1304 1630 1652 2065 2282 2360 2608 3260 3304 4130 4564 4720 5705 6520 6608 8260 9128 9617 11410 13040 16520 18256 19234 22820 33040 38468 45640 48085 67319 76936 78437 91280 96170 134638 153872 156874 192340 269276 313748 336595 384680 392185 538552 549059 627496 673190 769360 784370 1077104 1098118 1254992 1346380 1568740 2196236 2692760 2745295 3137480 4392472 4627783 5385520 5490590 6274960 8784944 9255566 10981180 12785231 18511132 21962360 23138915 25570462 32394481 37022264 43924720 46277830 51140924 63926155 64788962 74044528 89496617 92555660 102281848 127852310 129577924 161972405 178993234 185111320 204563696 255704620 259155848 323944810 357986468 370222640 447483085 511409240 518311696 647889620 715972936 754328629 894966170 1022818480 1295779240 1431945872 1508657258 1789932340 2591558480 3017314516 3579864680 3771643145 5280300403 6034629032 7159729360 7543286290 10560600806 12069258064 15086572580 21121201612 26401502015 30173145160 42242403224 52803004030 60346290320 84484806448 105606008060 211212016120 422424032240