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229902498208 = 25295925116729
BaseRepresentation
bin1101011000011101000…
…0011011100110100000
3210222102022002222120001
43112013100123212200
512231320014420313
6253341000225344
722416124664035
oct3260720334640
9728368088501
10229902498208
1189556a6a739
1238681a6b254
13188ab4368b6
14b1ad5c938c
155ea873dadd
hex358741b9a0

229902498208 has 96 divisors (see below), whose sum is σ = 478089864000. Its totient is φ = 108665088000.

The previous prime is 229902498181. The next prime is 229902498223. The reversal of 229902498208 is 802894209922.

It is a super-2 number, since 2×2299024982082 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13734388 + ... + 13751116.

It is an arithmetic number, because the mean of its divisors is an integer number (4980102750).

Almost surely, 2229902498208 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 229902498208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239044932000).

229902498208 is an abundant number, since it is smaller than the sum of its proper divisors (248187365792).

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

229902498208 is a wasteful number, since it uses less digits than its factorization.

229902498208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17078 (or 17070 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 229902498208 in words is "two hundred twenty-nine billion, nine hundred two million, four hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 32 58 59 116 118 232 236 251 464 472 502 928 944 1004 1711 1888 2008 3422 4016 6844 7279 8032 13688 14558 14809 16729 27376 29116 29618 33458 54752 58232 59236 66916 116464 118472 133832 232928 236944 267664 429461 473888 485141 535328 858922 970282 987011 1717844 1940564 1974022 3435688 3881128 3948044 4198979 6871376 7762256 7896088 8397958 13742752 15524512 15792176 16795916 28623319 31584352 33591832 57246638 67183664 114493276 121770391 134367328 228986552 243540782 247739761 457973104 487081564 495479522 915946208 974163128 990959044 1948326256 1981918088 3896652512 3963836176 7184453069 7927672352 14368906138 28737812276 57475624552 114951249104 229902498208