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122213232 = 24331012801
BaseRepresentation
bin1110100100011…
…01001101110000
322111222002001000
413102031031300
5222241310412
620043242000
73012536541
oct722151560
9274862030
10122213232
1162a93679
1234b19300
131c42042b
14123344c8
15aae14dc
hex748d370

122213232 has 80 divisors (see below), whose sum is σ = 354396960. Its totient is φ = 40320000.

The previous prime is 122213213. The next prime is 122213261. The reversal of 122213232 is 232312221.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 15 ways as a sum of consecutive naturals, for example, 42232 + ... + 45032.

It is an arithmetic number, because the mean of its divisors is an integer number (4429962).

Almost surely, 2122213232 is an apocalyptic number.

122213232 is a gapful number since it is divisible by the number (12) 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 122213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177198480).

122213232 is an abundant number, since it is smaller than the sum of its proper divisors (232183728).

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

122213232 is a wasteful number, since it uses less digits than its factorization.

122213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2907 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 122213232 is about 11055.0093622755. The cubic root of 122213232 is about 496.2563494504.

Adding to 122213232 its reverse (232312221), we get a palindrome (354525453).

The spelling of 122213232 in words is "one hundred twenty-two million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 2801 3636 4848 5454 5602 7272 8403 10908 11204 14544 16806 21816 22408 25209 33612 43632 44816 50418 67224 75627 100836 134448 151254 201672 282901 302508 403344 565802 605016 848703 1131604 1210032 1697406 2263208 2546109 3394812 4526416 5092218 6789624 7638327 10184436 13579248 15276654 20368872 30553308 40737744 61106616 122213232