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2269198032 = 243232970877
BaseRepresentation
bin1000011101000001…
…0011011011010000
312212010220012111120
42013100103123100
514121403314112
61013100442240
7110142602463
oct20720233320
95763805446
102269198032
11a649a3082
12533b49380
132a217c13a
141775312da
15d4339e8c
hex874136d0

2269198032 has 80 divisors (see below), whose sum is σ = 6327987840. Its totient is φ = 698553856.

The previous prime is 2269198031. The next prime is 2269198037. The reversal of 2269198032 is 2308919622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269198031) 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 15 ways as a sum of consecutive naturals, for example, 3423 + ... + 67454.

It is an arithmetic number, because the mean of its divisors is an integer number (79099848).

Almost surely, 22269198032 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 2269198032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163993920).

2269198032 is an abundant number, since it is smaller than the sum of its proper divisors (4058789808).

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

2269198032 is a wasteful number, since it uses less digits than its factorization.

2269198032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70940 (or 70934 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2269198032 is about 47636.1000922620. The cubic root of 2269198032 is about 1314.0870418121.

The spelling of 2269198032 in words is "two billion, two hundred sixty-nine million, one hundred ninety-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 174 184 232 276 348 368 464 552 667 696 1104 1334 1392 2001 2668 4002 5336 8004 10672 16008 32016 70877 141754 212631 283508 425262 567016 850524 1134032 1630171 1701048 2055433 3260342 3402096 4110866 4890513 6166299 6520684 8221732 9781026 12332598 13041368 16443464 19562052 24665196 26082736 32886928 39124104 47274959 49330392 78248208 94549918 98660784 141824877 189099836 283649754 378199672 567299508 756399344 1134599016 2269198032