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422466840 = 233451011291
BaseRepresentation
bin11001001011100…
…101010100011000
31002102221112120000
4121023211110120
51331122414330
6105530533000
713316623515
oct3113452430
91072845500
10422466840
111a7520654
12b9597160
13696a97a3
144017230c
1527150560
hex192e5518

422466840 has 160 divisors (see below), whose sum is σ = 1435127760. Its totient is φ = 111456000.

The previous prime is 422466833. The next prime is 422466871. The reversal of 422466840 is 48664224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422466795 and 422466804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 326595 + ... + 327885.

Almost surely, 2422466840 is an apocalyptic number.

422466840 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 422466840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717563880).

422466840 is an abundant number, since it is smaller than the sum of its proper divisors (1012660920).

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

422466840 is a wasteful number, since it uses less digits than its factorization.

422466840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 422466840 is about 20553.9981512114. The cubic root of 422466840 is about 750.3505561217.

The spelling of 422466840 in words is "four hundred twenty-two million, four hundred sixty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 101 108 120 135 162 180 202 216 270 303 324 360 404 405 505 540 606 648 808 810 909 1010 1080 1212 1291 1515 1620 1818 2020 2424 2582 2727 3030 3240 3636 3873 4040 4545 5164 5454 6060 6455 7272 7746 8181 9090 10328 10908 11619 12120 12910 13635 15492 16362 18180 19365 21816 23238 25820 27270 30984 32724 34857 36360 38730 40905 46476 51640 54540 58095 65448 69714 77460 81810 92952 104571 109080 116190 130391 139428 154920 163620 174285 209142 232380 260782 278856 327240 348570 391173 418284 464760 521564 522855 651955 697140 782346 836568 1043128 1045710 1173519 1303910 1394280 1564692 1955865 2091420 2347038 2607820 3129384 3520557 3911730 4182840 4694076 5215640 5867595 7041114 7823460 9388152 10561671 11735190 14082228 15646920 17602785 21123342 23470380 28164456 35205570 42246684 46940760 52808355 70411140 84493368 105616710 140822280 211233420 422466840