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422251000 = 23533153257
BaseRepresentation
bin11001001010110…
…000100111111000
31002102112120110221
4121022300213320
51331044013000
6105522145424
713315034323
oct3112604770
91072476427
10422251000
111a7393476
12b94b2274
1369632482
14401177ba
152710b61a
hex192b09f8

422251000 has 128 divisors (see below), whose sum is σ = 1043228160. Its totient is φ = 159744000.

The previous prime is 422250943. The next prime is 422251001. The reversal of 422251000 is 152224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422251001) 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, 1642872 + ... + 1643128.

It is an arithmetic number, because the mean of its divisors is an integer number (8150220).

Almost surely, 2422251000 is an apocalyptic number.

422251000 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 422251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521614080).

422251000 is an abundant number, since it is smaller than the sum of its proper divisors (620977160).

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

422251000 is a wasteful number, since it uses less digits than its factorization.

422251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 422251000 is about 20548.7469204329. The cubic root of 422251000 is about 750.2227486523. Note that the first 3 decimals are identical.

The spelling of 422251000 in words is "four hundred twenty-two million, two hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 53 62 100 106 124 125 155 200 212 248 250 257 265 310 424 500 514 530 620 775 1000 1028 1060 1240 1285 1325 1550 1643 2056 2120 2570 2650 3100 3286 3875 5140 5300 6200 6425 6572 6625 7750 7967 8215 10280 10600 12850 13144 13250 13621 15500 15934 16430 25700 26500 27242 31000 31868 32125 32860 39835 41075 51400 53000 54484 63736 64250 65720 68105 79670 82150 108968 128500 136210 159340 164300 199175 205375 257000 272420 318680 328600 340525 398350 410750 422251 544840 681050 796700 821500 844502 995875 1362100 1593400 1643000 1689004 1702625 1991750 2111255 2724200 3378008 3405250 3983500 4222510 6810500 7967000 8445020 10556275 13621000 16890040 21112550 42225100 52781375 84450200 105562750 211125500 422251000