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230321322 = 232711215107
BaseRepresentation
bin11011011101001…
…10110010101010
3121001101112110100
431232212302222
5432430240242
634504330230
75464461510
oct1556466252
9531345410
10230321322
11109012900
1265173976
133894260a
14228364b0
151534854c
hexdba6caa

230321322 has 72 divisors (see below), whose sum is σ = 626921568. Its totient is φ = 59819760.

The previous prime is 230321317. The next prime is 230321327. The reversal of 230321322 is 223123032.

It is a happy number.

230321322 is a `hidden beast` number, since 23 + 0 + 321 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (230321317) and next prime (230321327).

It is a super-2 number, since 2×2303213222 = 106095822735655368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230321295 and 230321304.

It is not an unprimeable number, because it can be changed into a prime (230321327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7693 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (8707244).

Almost surely, 2230321322 is an apocalyptic number.

230321322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313460784).

230321322 is an abundant number, since it is smaller than the sum of its proper divisors (396600246).

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

230321322 is a wasteful number, since it uses less digits than its factorization.

230321322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15144 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230321322 is about 15176.3408633307. The cubic root of 230321322 is about 612.9777559175.

Adding to 230321322 its reverse (223123032), we get a palindrome (453444354).

The spelling of 230321322 in words is "two hundred thirty million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15107 15246 30214 45321 90642 105749 135963 166177 211498 271926 317247 332354 498531 634494 951741 997062 1163239 1495593 1827947 1903482 2326478 2991186 3489717 3655894 5483841 6979434 10469151 10967682 12795629 16451523 20938302 25591258 32903046 38386887 76773774 115160661 230321322