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422115166320 = 243546110493637
BaseRepresentation
bin1100010010010000000…
…01100100100001110000
31111100112221011012221220
412021020001210201300
523403442440310240
6521530024545040
742332256466401
oct6111001444160
91440487135856
10422115166320
11153022009161
1269985622180
1330a612b4083
14166053619a8
15aea81c55d0
hex6248064870

422115166320 has 160 divisors (see below), whose sum is σ = 1313006587200. Its totient is φ = 112181944320.

The previous prime is 422115166303. The next prime is 422115166327. The reversal of 422115166320 is 23661511224.

It is a super-2 number, since 2×4221151663202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422115166327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116059542 + ... + 116063178.

It is an arithmetic number, because the mean of its divisors is an integer number (8206291170).

Almost surely, 2422115166320 is an apocalyptic number.

422115166320 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 422115166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656503293600).

422115166320 is an abundant number, since it is smaller than the sum of its proper divisors (890891420880).

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

422115166320 is a wasteful number, since it uses less digits than its factorization.

422115166320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5163 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 422115166320 its reverse (23661511224), we get a palindrome (445776677544).

The spelling of 422115166320 in words is "four hundred twenty-two billion, one hundred fifteen million, one hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 461 922 1049 1383 1844 2098 2305 2766 3147 3637 3688 4196 4610 5245 5532 6294 6915 7274 7376 8392 9220 10490 10911 11064 12588 13830 14548 15735 16784 18185 18440 20980 21822 22128 25176 27660 29096 31470 36370 36880 41960 43644 50352 54555 55320 58192 62940 72740 83920 87288 109110 110640 125880 145480 174576 218220 251760 290960 436440 483589 872880 967178 1450767 1676657 1934356 2417945 2901534 3353314 3815213 3868712 4835890 5029971 5803068 6706628 7253835 7630426 7737424 8383285 9671780 10059942 11445639 11606136 13413256 14507670 15260852 16766570 19076065 19343560 20119884 22891278 23212272 25149855 26826512 29015340 30521704 33533140 38152130 38687120 40239768 45782556 50299710 57228195 58030680 61043408 67066280 76304260 80479536 91565112 100599420 114456390 116061360 134132560 152608520 183130224 201198840 228912780 305217040 402397680 457825560 915651120 1758813193 3517626386 5276439579 7035252772 8794065965 10552879158 14070505544 17588131930 21105758316 26382197895 28141011088 35176263860 42211516632 52764395790 70352527720 84423033264 105528791580 140705055440 211057583160 422115166320