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997229088 = 25326915011
BaseRepresentation
bin111011011100001…
…000001000100000
32120111110111010200
4323130020020200
54020242312323
6242542025200
733466210302
oct7334101040
92514414120
10997229088
11471a00a79
12239b78200
1312b7a9bab
1496629972
155c835443
hex3b708220

997229088 has 72 divisors (see below), whose sum is σ = 2840540976. Its totient is φ = 331862400.

The previous prime is 997229081. The next prime is 997229089. The reversal of 997229088 is 880922799.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (997229081) 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 11 ways as a sum of consecutive naturals, for example, 196503 + ... + 201513.

It is an arithmetic number, because the mean of its divisors is an integer number (39451958).

Almost surely, 2997229088 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 997229088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420270488).

997229088 is an abundant number, since it is smaller than the sum of its proper divisors (1843311888).

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

997229088 is a wasteful number, since it uses less digits than its factorization.

997229088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 997229088 is about 31578.9342442078. The cubic root of 997229088 is about 999.0755082450.

It can be divided in two parts, 9972 and 29088, that added together give a triangular number (39060 = T279).

The spelling of 997229088 in words is "nine hundred ninety-seven million, two hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 691 1382 2073 2764 4146 5011 5528 6219 8292 10022 11056 12438 15033 16584 20044 22112 24876 30066 33168 40088 45099 49752 60132 66336 80176 90198 99504 120264 160352 180396 199008 240528 360792 481056 721584 1443168 3462601 6925202 10387803 13850404 20775606 27700808 31163409 41551212 55401616 62326818 83102424 110803232 124653636 166204848 249307272 332409696 498614544 997229088