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122252224 = 2673137191
BaseRepresentation
bin1110100100101…
…10101111000000
322112001001112011
413102112233000
5222244032344
620044142304
73013061323
oct722265700
9275031464
10122252224
116300a9a6
1234b37994
131c4350c3
14123447ba
15aaecd34
hex7496bc0

122252224 has 56 divisors (see below), whose sum is σ = 249009408. Its totient is φ = 59535360.

The previous prime is 122252159. The next prime is 122252227. The reversal of 122252224 is 422252221.

It is a junction number, because it is equal to n+sod(n) for n = 122252195 and 122252204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122252227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 639969 + ... + 640159.

Almost surely, 2122252224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124504704).

122252224 is an abundant number, since it is smaller than the sum of its proper divisors (126757184).

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

122252224 is a wasteful number, since it uses less digits than its factorization.

122252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its digits is 1280, while the sum is 22.

The square root of 122252224 is about 11056.7727660471. The cubic root of 122252224 is about 496.3091205232.

The spelling of 122252224 in words is "one hundred twenty-two million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 137 146 191 274 292 382 548 584 764 1096 1168 1528 2192 2336 3056 4384 4672 6112 8768 10001 12224 13943 20002 26167 27886 40004 52334 55772 80008 104668 111544 160016 209336 223088 320032 418672 446176 640064 837344 892352 1674688 1910191 3820382 7640764 15281528 30563056 61126112 122252224