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122000564 = 22729150247
BaseRepresentation
bin1110100010110…
…01010010110100
322111120021022102
413101121102310
5222213004224
620034521232
73010662530
oct721312264
9274507272
10122000564
1162958914
1234a36218
131c3776aa
14122babc0
15aa9d4ae
hex74594b4

122000564 has 24 divisors (see below), whose sum is σ = 252416640. Its totient is φ = 50482656.

The previous prime is 122000537. The next prime is 122000573. The reversal of 122000564 is 465000221.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 74312 + ... + 75935.

It is an arithmetic number, because the mean of its divisors is an integer number (10517360).

Almost surely, 2122000564 is an apocalyptic number.

122000564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122000564 is an abundant number, since it is smaller than the sum of its proper divisors (130416076).

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

122000564 is a wasteful number, since it uses less digits than its factorization.

122000564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150287 (or 150285 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 122000564 is about 11045.3865482381. The cubic root of 122000564 is about 495.9683306609.

Adding to 122000564 its reverse (465000221), we get a palindrome (587000785).

The spelling of 122000564 in words is "one hundred twenty-two million, five hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 150247 300494 600988 1051729 2103458 4206916 4357163 8714326 17428652 30500141 61000282 122000564