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230249429676 = 223273739244367
BaseRepresentation
bin1101011001101111101…
…1110111101010101100
3211000022110220221001200
43112123323313222230
512233022323222201
6253435232205500
722430536601040
oct3263373675254
9730273827050
10230249429676
1189714889462
123875a099890
13189352871a6
14b2036d8020
155ec8e1d386
hex359bef7aac

230249429676 has 72 divisors (see below), whose sum is σ = 665345640960. Its totient is φ = 65767687776.

The previous prime is 230249429671. The next prime is 230249429699. The reversal of 230249429676 is 676924942032.

230249429676 is a `hidden beast` number, since 2 + 302 + 49 + 4 + 296 + 7 + 6 = 666.

It is a super-2 number, since 2×2302494296762 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230249429671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820045 + ... + 1064411.

It is an arithmetic number, because the mean of its divisors is an integer number (9240911680).

Almost surely, 2230249429676 is an apocalyptic number.

It is an amenable number.

230249429676 is an abundant number, since it is smaller than the sum of its proper divisors (435096211284).

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

230249429676 is a wasteful number, since it uses less digits than its factorization.

230249429676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248123 (or 248118 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 230249429676 in words is "two hundred thirty billion, two hundred forty-nine million, four hundred twenty-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3739 7478 11217 14956 22434 26173 33651 44868 52346 67302 78519 104692 134604 157038 235557 244367 314076 471114 488734 733101 942228 977468 1466202 1710569 2199303 2932404 3421138 4398606 5131707 6842276 8797212 10263414 15395121 20526828 30790242 61580484 913688213 1827376426 2741064639 3654752852 5482129278 6395817491 8223193917 10964258556 12791634982 16446387834 19187452473 25583269964 32892775668 38374904946 57562357419 76749809892 115124714838 230249429676