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122745216 = 2731129059
BaseRepresentation
bin1110101000011…
…11000110000000
322112222002210010
413110033012000
5222410321331
620102504520
73020213526
oct724170600
9275862703
10122745216
1163317330
1235135140
131c578609
1412432316
15ab98e46
hex750f180

122745216 has 64 divisors (see below), whose sum is σ = 355694400. Its totient is φ = 37194240.

The previous prime is 122745211. The next prime is 122745251. The reversal of 122745216 is 612547221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122745211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10306 + ... + 18753.

It is an arithmetic number, because the mean of its divisors is an integer number (5557725).

Almost surely, 2122745216 is an apocalyptic number.

122745216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122745216 is an abundant number, since it is smaller than the sum of its proper divisors (232949184).

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

122745216 is a wasteful number, since it uses less digits than its factorization.

122745216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29087 (or 29075 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 122745216 is about 11079.0440020789. The cubic root of 122745216 is about 496.9753613497.

The spelling of 122745216 in words is "one hundred twenty-two million, seven hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 29059 58118 87177 116236 174354 232472 319649 348708 464944 639298 697416 929888 958947 1278596 1394832 1859776 1917894 2557192 2789664 3719552 3835788 5114384 5579328 7671576 10228768 11158656 15343152 20457536 30686304 40915072 61372608 122745216