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229468097920 = 2751282327961
BaseRepresentation
bin1101010110110101011…
…1010100110110000000
3210221022000201011101111
43111231113110312000
512224422313113140
6253225521413104
722402301435635
oct3255527246600
9727260634344
10229468097920
1189353839336
123858049a194
131883c43c4c9
14b16ba2c18c
155e805327ea
hex356d5d4d80

229468097920 has 64 divisors (see below), whose sum is σ = 548634572640. Its totient is φ = 91776798720.

The previous prime is 229468097897. The next prime is 229468097977. The reversal of 229468097920 is 29790864922.

229468097920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8192740 + ... + 8220700.

Almost surely, 2229468097920 is an apocalyptic number.

229468097920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229468097920 is an abundant number, since it is smaller than the sum of its proper divisors (319166474720).

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

229468097920 is a wasteful number, since it uses less digits than its factorization.

229468097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40803 (or 40791 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 229468097920 in words is "two hundred twenty-nine billion, four hundred sixty-eight million, ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 12823 25646 27961 51292 55922 64115 102584 111844 128230 139805 205168 223688 256460 279610 410336 447376 512920 559220 820672 894752 1025840 1118440 1641344 1789504 2051680 2236880 3579008 4103360 4473760 8206720 8947520 17895040 358543903 717087806 1434175612 1792719515 2868351224 3585439030 5736702448 7170878060 11473404896 14341756120 22946809792 28683512240 45893619584 57367024480 114734048960 229468097920