Search a number
-
+
422264688 = 243137157409
BaseRepresentation
bin11001001010110…
…011111101110000
31002102120021020220
4121022303331300
51331044432223
6105522333040
713315122246
oct3112637560
91072507226
10422264688
111a73a278a
12b94ba180
1369638781
144011c796
15271106e3
hex192b3f70

422264688 has 80 divisors (see below), whose sum is σ = 1108515360. Its totient is φ = 138498048.

The previous prime is 422264681. The next prime is 422264723. The reversal of 422264688 is 886462224.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422264681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032228 + ... + 1032636.

It is an arithmetic number, because the mean of its divisors is an integer number (13856442).

Almost surely, 2422264688 is an apocalyptic number.

422264688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

422264688 is an abundant number, since it is smaller than the sum of its proper divisors (686250672).

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

422264688 is a wasteful number, since it uses less digits than its factorization.

422264688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 422264688 is about 20549.0799794054. The cubic root of 422264688 is about 750.2308551561.

The spelling of 422264688 in words is "four hundred twenty-two million, two hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 157 274 314 409 411 471 548 628 818 822 942 1096 1227 1256 1636 1644 1884 2192 2454 2512 3272 3288 3768 4908 6544 6576 7536 9816 19632 21509 43018 56033 64213 64527 86036 112066 128426 129054 168099 172072 192639 224132 256852 258108 336198 344144 385278 448264 513704 516216 672396 770556 896528 1027408 1032432 1344792 1541112 2689584 3082224 8797181 17594362 26391543 35188724 52783086 70377448 105566172 140754896 211132344 422264688