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2210129248 = 251923158047
BaseRepresentation
bin1000001110111011…
…1110010101100000
312201000202012100211
42003232332111200
514011243113443
61003150423504
7105524534335
oct20356762540
95630665324
102210129248
11a346188a8
12518201b94
13292b69cb2
1416d75698c
15ce06d19d
hex83bbe560

2210129248 has 48 divisors (see below), whose sum is σ = 4779371520. Its totient is φ = 1001379456.

The previous prime is 2210129219. The next prime is 2210129249. The reversal of 2210129248 is 8429210122.

2210129248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210129249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65040 + ... + 93007.

It is an arithmetic number, because the mean of its divisors is an integer number (99570240).

Almost surely, 22210129248 is an apocalyptic number.

It is an amenable number.

2210129248 is an abundant number, since it is smaller than the sum of its proper divisors (2569242272).

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

2210129248 is a wasteful number, since it uses less digits than its factorization.

2210129248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158099 (or 158091 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2210129248 is about 47012.0117416815. The cubic root of 2210129248 is about 1302.5844538601.

The spelling of 2210129248 in words is "two billion, two hundred ten million, one hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3496 6992 13984 158047 316094 632188 1264376 2528752 3002893 3635081 5057504 6005786 7270162 12011572 14540324 24023144 29080648 48046288 58161296 69066539 96092576 116322592 138133078 276266156 552532312 1105064624 2210129248