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230553026154 = 2321114927128837
BaseRepresentation
bin1101011010111000000…
…1111111111001101010
3211001002122012020010200
43112232001333321222
512234133033314104
6253525315253030
722441214250003
oct3265601777152
9731078166120
10230553026154
1189860199a40
12388238aa176
1318983143c89
14b231b661aa
155ee58dcb39
hex35ae07fe6a

230553026154 has 96 divisors (see below), whose sum is σ = 550644307200. Its totient is φ = 69137193600.

The previous prime is 230553026147. The next prime is 230553026161. The reversal of 230553026154 is 451620355032.

230553026154 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 5 + 30 + 2 + 615 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (230553026147) and next prime (230553026161).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7980624 + ... + 8009460.

It is an arithmetic number, because the mean of its divisors is an integer number (5735878200).

Almost surely, 2230553026154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230553026154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275322153600).

230553026154 is an abundant number, since it is smaller than the sum of its proper divisors (320091281046).

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

230553026154 is a wasteful number, since it uses less digits than its factorization.

230553026154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29276 (or 29273 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 230553026154 in words is "two hundred thirty billion, five hundred fifty-three million, twenty-six thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 149 198 271 298 447 542 813 894 1341 1626 1639 2439 2682 2981 3278 4878 4917 5962 8943 9834 14751 17886 26829 28837 29502 40379 53658 57674 80758 86511 121137 173022 242274 259533 317207 363411 444169 519066 634414 726822 888338 951621 1332507 1903242 2665014 2854863 3997521 4296713 5709726 7814827 7995042 8593426 12890139 15629654 23444481 25780278 38670417 46888962 47263843 70333443 77340834 85963097 94527686 140666886 141791529 171926194 257889291 283583058 425374587 515778582 773667873 850749174 1164409223 1547335746 2328818446 3493227669 6986455338 10479683007 12808501453 20959366014 25617002906 38425504359 76851008718 115276513077 230553026154