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30229656192 = 27344875987
BaseRepresentation
bin11100001001110100…
…111111001010000000
32220000202102122110000
4130021310333022000
5443402242444232
621515354240000
72120055560301
oct341164771200
986022378400
1030229656192
111190294213a
125a37a26000
132b09b33a38
14166ab4a7a8
15bbdd9027c
hex709d3f280

30229656192 has 160 divisors (see below), whose sum is σ = 90162753120. Its totient is φ = 10054181376.

The previous prime is 30229656109. The next prime is 30229656211. The reversal of 30229656192 is 29165692203.

30229656192 is a `hidden beast` number, since 3 + 0 + 2 + 29 + 6 + 5 + 619 + 2 = 666.

It is a super-2 number, since 2×302296561922 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5046223 + ... + 5052209.

It is an arithmetic number, because the mean of its divisors is an integer number (563517207).

Almost surely, 230229656192 is an apocalyptic number.

30229656192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30229656192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45081376560).

30229656192 is an abundant number, since it is smaller than the sum of its proper divisors (59933096928).

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

30229656192 is an equidigital number, since it uses as much as digits as its factorization.

30229656192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6500 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 30229656192 in words is "thirty billion, two hundred twenty-nine million, six hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 487 576 648 864 974 1152 1296 1461 1728 1948 2592 2922 3456 3896 4383 5184 5844 5987 7792 8766 10368 11688 11974 13149 15584 17532 17961 23376 23948 26298 31168 35064 35922 39447 46752 47896 52596 53883 62336 70128 71844 78894 93504 95792 105192 107766 140256 143688 157788 161649 187008 191584 210384 215532 280512 287376 315576 323298 383168 420768 431064 484947 561024 574752 631152 646596 766336 841536 862128 969894 1149504 1262304 1293192 1683072 1724256 1939788 2299008 2524608 2586384 2915669 3448512 3879576 5049216 5172768 5831338 6897024 7759152 8747007 10345536 11662676 15518304 17494014 20691072 23325352 26241021 31036608 34988028 46650704 52482042 62073216 69976056 78723063 93301408 104964084 139952112 157446126 186602816 209928168 236169189 279904224 314892252 373205632 419856336 472338378 559808448 629784504 839712672 944676756 1119616896 1259569008 1679425344 1889353512 2519138016 3358850688 3778707024 5038276032 7557414048 10076552064 15114828096 30229656192