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122217228 = 22337413943
BaseRepresentation
bin1110100100011…
…10001100001100
322111222021112000
413102032030030
5222241422403
620043312300
73012554310
oct722161414
9274867460
10122217228
1162a96681
1234b1b690
131c4221b3
1412335b40
15aae27a3
hex748e30c

122217228 has 96 divisors (see below), whose sum is σ = 371051520. Its totient is φ = 34058880.

The previous prime is 122217149. The next prime is 122217259. The reversal of 122217228 is 822712221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29025 + ... + 32967.

It is an arithmetic number, because the mean of its divisors is an integer number (3865120).

Almost surely, 2122217228 is an apocalyptic number.

122217228 is a gapful number since it is divisible by the number (18) 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 122217228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185525760).

122217228 is an abundant number, since it is smaller than the sum of its proper divisors (248834292).

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

122217228 is a wasteful number, since it uses less digits than its factorization.

122217228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3996 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 122217228 is about 11055.1900933453. The cubic root of 122217228 is about 496.2617580812.

Adding to 122217228 its reverse (822712221), we get a palindrome (944929449).

It can be divided in two parts, 12221 and 7228, that multiplied together give a palindrome (88333388).

The spelling of 122217228 in words is "one hundred twenty-two million, two hundred seventeen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1107 1148 1476 1722 2214 2583 3444 3943 4428 5166 7749 7886 10332 11829 15498 15772 23658 27601 30996 35487 47316 55202 70974 82803 106461 110404 141948 161663 165606 212922 248409 323326 331212 425844 484989 496818 646652 745227 969978 993636 1131641 1454967 1490454 1939956 2263282 2909934 2980908 3394923 4364901 4526564 5819868 6789846 8729802 10184769 13579692 17459604 20369538 30554307 40739076 61108614 122217228