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229930644144 = 243231391498349
BaseRepresentation
bin1101011000100011101…
…1110011001010110000
3210222111021001221112010
43112020323303022300
512231344221103034
6253343443402520
722416616141125
oct3261073631260
9728437057463
10229930644144
1189570944143
123868b383440
13188b420c9b6
14b1b323474c
155eaae4d3e9
hex3588ef32b0

229930644144 has 80 divisors (see below), whose sum is σ = 624272544000. Its totient is φ = 72783752448.

The previous prime is 229930644127. The next prime is 229930644149. The reversal of 229930644144 is 441446039922.

It is a happy number.

229930644144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2299306441442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 229930644093 and 229930644102.

It is not an unprimeable number, because it can be changed into a prime (229930644149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 595719 + ... + 902630.

It is an arithmetic number, because the mean of its divisors is an integer number (7803406800).

Almost surely, 2229930644144 is an apocalyptic number.

229930644144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229930644144 is an abundant number, since it is smaller than the sum of its proper divisors (394341899856).

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

229930644144 is a wasteful number, since it uses less digits than its factorization.

229930644144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498522 (or 1498516 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 229930644144 in words is "two hundred twenty-nine billion, nine hundred thirty million, six hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 139 184 276 278 368 417 552 556 834 1104 1112 1668 2224 3197 3336 6394 6672 9591 12788 19182 25576 38364 51152 76728 153456 1498349 2996698 4495047 5993396 8990094 11986792 17980188 23973584 34462027 35960376 68924054 71920752 103386081 137848108 206772162 208270511 275696216 413544324 416541022 551392432 624811533 827088648 833082044 1249623066 1654177296 1666164088 2499246132 3332328176 4790221753 4998492264 9580443506 9996984528 14370665259 19160887012 28741330518 38321774024 57482661036 76643548048 114965322072 229930644144