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230042432202 = 231197263317431
BaseRepresentation
bin1101011000111110011…
…0001111001011001010
3210222210001102100220120
43112033212033023022
512232111330312302
6253402515404110
722422444260622
oct3261746171312
9728701370816
10230042432202
1189618a57170
12387008b3636
131890141cb8b
14b1c4013882
155eb5b809bc
hex358f98f2ca

230042432202 has 128 divisors (see below), whose sum is σ = 511803629568. Its totient is φ = 68353075200.

The previous prime is 230042432149. The next prime is 230042432219. The reversal of 230042432202 is 202234240032.

It is a happy number.

It is a super-2 number, since 2×2300424322022 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533740927 + ... + 533741357.

It is an arithmetic number, because the mean of its divisors is an integer number (3998465856).

Almost surely, 2230042432202 is an apocalyptic number.

230042432202 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 230042432202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255901814784).

230042432202 is an abundant number, since it is smaller than the sum of its proper divisors (281761197366).

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

230042432202 is a wasteful number, since it uses less digits than its factorization.

230042432202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 230042432202 its reverse (202234240032), we get a palindrome (432276672234).

The spelling of 230042432202 in words is "two hundred thirty billion, forty-two million, four hundred thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 97 194 263 291 317 431 526 582 634 789 862 951 1067 1293 1578 1902 2134 2586 2893 3201 3487 4741 5786 6402 6974 8679 9482 10461 14223 17358 20922 25511 28446 30749 41807 51022 61498 76533 83371 83614 92247 113353 125421 136627 153066 166742 184494 226706 250113 250842 273254 280621 338239 340059 409881 459877 500226 561242 676478 680118 819762 841863 917081 919754 1014717 1246883 1379631 1502897 1683726 1834162 2029434 2493766 2751243 2759262 3005794 3740649 4508691 5502486 7481298 8086987 9017382 10995241 13252819 16173974 21990482 24260961 26505638 32985723 35932901 39758457 48521922 65971446 71865802 79516914 88956857 107798703 120947651 145781009 177913714 215597406 241895302 266870571 291562018 362842953 395261911 437343027 533741142 725685906 790523822 874686054 1185785733 2371571466 3485491397 6970982794 10456474191 20912948382 38340405367 76680810734 115021216101 230042432202