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231222000 = 2435389433
BaseRepresentation
bin11011100100000…
…10101011110000
3121010002021221210
431302002223300
5433143101000
634535520120
75505232422
oct1562025360
9533067853
10231222000
11109578569
1265529040
1338b99569
14229cc812
1515475350
hexdc82af0

231222000 has 160 divisors (see below), whose sum is σ = 755576640. Its totient is φ = 60825600.

The previous prime is 231221983. The next prime is 231222011. The reversal of 231222000 is 222132.

231222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2312220002 = 106927226568000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 533784 + ... + 534216.

It is an arithmetic number, because the mean of its divisors is an integer number (4722354).

Almost surely, 2231222000 is an apocalyptic number.

231222000 is a gapful number since it is divisible by the number (20) 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 231222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377788320).

231222000 is an abundant number, since it is smaller than the sum of its proper divisors (524354640).

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

231222000 is a wasteful number, since it uses less digits than its factorization.

231222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 231222000 is about 15205.9856635471. The cubic root of 231222000 is about 613.7757388863.

Adding to 231222000 its reverse (222132), we get a palindrome (231444132).

The spelling of 231222000 in words is "two hundred thirty-one million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 125 150 178 200 240 250 267 300 356 375 400 433 445 500 534 600 712 750 866 890 1000 1068 1200 1299 1335 1424 1500 1732 1780 2000 2136 2165 2225 2598 2670 3000 3464 3560 4272 4330 4450 5196 5340 6000 6495 6675 6928 7120 8660 8900 10392 10680 10825 11125 12990 13350 17320 17800 20784 21360 21650 22250 25980 26700 32475 33375 34640 35600 38537 43300 44500 51960 53400 54125 64950 66750 77074 86600 89000 103920 106800 108250 115611 129900 133500 154148 162375 173200 178000 192685 216500 231222 259800 267000 308296 324750 385370 433000 462444 519600 534000 578055 616592 649500 770740 866000 924888 963425 1156110 1299000 1541480 1849776 1926850 2312220 2598000 2890275 3082960 3853700 4624440 4817125 5780550 7707400 9248880 9634250 11561100 14451375 15414800 19268500 23122200 28902750 38537000 46244400 57805500 77074000 115611000 231222000