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229722084 = 2232192631277
BaseRepresentation
bin11011011000101…
…00011111100100
3121000021002110100
431230110133210
5432302101314
634443424100
75456414454
oct1554243744
9530232410
10229722084
11108743669
1264b25030
1338792937
142271bd64
151527ac09
hexdb147e4

229722084 has 72 divisors (see below), whose sum is σ = 614053440. Its totient is φ = 72211392.

The previous prime is 229722061. The next prime is 229722089. The reversal of 229722084 is 480227922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229722089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179254 + ... + 180530.

It is an arithmetic number, because the mean of its divisors is an integer number (8528520).

Almost surely, 2229722084 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 229722084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307026720).

229722084 is an abundant number, since it is smaller than the sum of its proper divisors (384331356).

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

229722084 is a wasteful number, since it uses less digits than its factorization.

229722084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 229722084 is about 15156.5854993795. The cubic root of 229722084 is about 612.4456897006.

The spelling of 229722084 in words is "two hundred twenty-nine million, seven hundred twenty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 263 342 526 684 789 1052 1277 1578 2367 2554 3156 3831 4734 4997 5108 7662 9468 9994 11493 14991 15324 19988 22986 24263 29982 44973 45972 48526 59964 72789 89946 97052 145578 179892 218367 291156 335851 436734 671702 873468 1007553 1343404 2015106 3022659 4030212 6045318 6381169 12090636 12762338 19143507 25524676 38287014 57430521 76574028 114861042 229722084