[go: up one dir, main page]

Search a number
-
+
122222000 = 2453232657
BaseRepresentation
bin1110100100011…
…11010110110000
322111222112001202
413102033112300
5222242101000
620043350332
73012604235
oct722172660
9274875052
10122222000
1162a9a21a
1234b223a8
131c424414
141233778c
15aae3dd5
hex748f5b0

122222000 has 80 divisors (see below), whose sum is σ = 308498112. Its totient is φ = 46745600.

The previous prime is 122221999. The next prime is 122222017. The reversal of 122222000 is 222221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44672 + ... + 47328.

Almost surely, 2122222000 is an apocalyptic number.

122222000 is a gapful number since it is divisible by the number (10) 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 122222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154249056).

122222000 is an abundant number, since it is smaller than the sum of its proper divisors (186276112).

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

122222000 is a wasteful number, since it uses less digits than its factorization.

122222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 122222000 is about 11055.4059174686. The cubic root of 122222000 is about 496.2682168823.

Adding to 122222000 its reverse (222221), we get a palindrome (122444221).

The spelling of 122222000 in words is "one hundred twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2657 2875 4600 5314 5750 9200 10628 11500 13285 21256 23000 26570 42512 46000 53140 61111 66425 106280 122222 132850 212560 244444 265700 305555 332125 488888 531400 611110 664250 977776 1062800 1222220 1328500 1527775 2444440 2657000 3055550 4888880 5314000 6111100 7638875 12222200 15277750 24444400 30555500 61111000 122222000