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422905140 = 2232572314593
BaseRepresentation
bin11001001101010…
…000010100110100
31002110202210210100
4121031100110310
51331230431030
6105544154100
713323430410
oct3115202464
91073683710
10422905140
111a779a989
12b9768930
1369801138
1440247d40
15271da360
hex19350534

422905140 has 144 divisors (see below), whose sum is σ = 1529918208. Its totient is φ = 92454912.

The previous prime is 422905123. The next prime is 422905151. The reversal of 422905140 is 41509224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21684 + ... + 36276.

It is an arithmetic number, because the mean of its divisors is an integer number (10624432).

Almost surely, 2422905140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422905140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764959104).

422905140 is an abundant number, since it is smaller than the sum of its proper divisors (1107013068).

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

422905140 is a wasteful number, since it uses less digits than its factorization.

422905140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14638 (or 14633 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 422905140 is about 20564.6575463828. The cubic root of 422905140 is about 750.6099571352.

The spelling of 422905140 in words is "four hundred twenty-two million, nine hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 14593 28980 29186 43779 58372 72965 87558 102151 131337 145930 175116 204302 218895 262674 291860 306453 335639 408604 437790 510755 525348 612906 656685 671278 875580 919359 1006917 1021510 1225812 1313370 1342556 1532265 1678195 1838718 2013834 2043020 2349473 2626740 3020751 3064530 3356390 3677436 4027668 4596795 4698946 5034585 6041502 6129060 6712780 7048419 9193590 9397892 10069170 11747365 12083004 14096838 15103755 18387180 20138340 21145257 23494730 28193676 30207510 35242095 42290514 46989460 60415020 70484190 84581028 105726285 140968380 211452570 422905140