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230133403422 = 233131934094153
BaseRepresentation
bin1101011001010100000…
…1010000111100011110
3211000000101121011222000
43112111001100330132
512232303122402142
6253415525303130
722424630440056
oct3262501207436
9730011534860
10230133403422
118966534119a
1238727264aa6
1318917221bc0
14b1d2134566
155ebdb5014c
hex3595050f1e

230133403422 has 128 divisors (see below), whose sum is σ = 555087388800. Its totient is φ = 70254231552.

The previous prime is 230133403421. The next prime is 230133403433. The reversal of 230133403422 is 224304331032.

230133403422 is a `hidden beast` number, since 2 + 301 + 334 + 0 + 3 + 4 + 22 = 666.

It is a super-2 number, since 2×2301334034222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230133403421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55411698 + ... + 55415850.

It is an arithmetic number, because the mean of its divisors is an integer number (4336620225).

Almost surely, 2230133403422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230133403422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277543694400).

230133403422 is an abundant number, since it is smaller than the sum of its proper divisors (324953985378).

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

230133403422 is a wasteful number, since it uses less digits than its factorization.

230133403422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 230133403422 its reverse (224304331032), we get a palindrome (454437734454).

The spelling of 230133403422 in words is "two hundred thirty billion, one hundred thirty-three million, four hundred three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 193 234 351 386 409 579 702 818 1158 1227 1737 2454 2509 3474 3681 4153 5018 5211 5317 7362 7527 8306 10422 10634 11043 12459 15054 15951 22086 22581 24918 31902 37377 45162 47853 53989 67743 74754 78937 95706 107978 112131 135486 143559 157874 161967 224262 236811 287118 323934 473622 485901 710433 801529 971802 1026181 1420866 1457703 1603058 1698577 2052362 2131299 2404587 2915406 3078543 3397154 4262598 4809174 5095731 6157086 7213761 9235629 10191462 10419877 14427522 15287193 18471258 20839754 21641283 22081501 27706887 30574386 31259631 43282566 44163002 45861579 55413774 62519262 66244503 91723158 93778893 132489006 187557786 198733509 281336679 327825361 397467018 562673358 596200527 655650722 983476083 1192401054 1966952166 2950428249 4261729693 5900856498 8523459386 8851284747 12785189079 17702569494 25570378158 38355567237 76711134474 115066701711 230133403422