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230060669232 = 24347531979767
BaseRepresentation
bin1101011001000010101…
…1110011100100110000
3210222211022201220102010
43112100223303210300
512232131012403412
6253404410322520
722423055265042
oct3262053634460
9728738656363
10230060669232
1189628282999
1238706a29440
1318905136a14
14b1c65dda92
155eb758433c
hex3590af3930

230060669232 has 160 divisors (see below), whose sum is σ = 621623642112. Its totient is φ = 73257812992.

The previous prime is 230060669207. The next prime is 230060669257. The reversal of 230060669232 is 232966060032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230060669207) and next prime (230060669257).

It is a super-2 number, since 2×2300606692322 (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 31 ways as a sum of consecutive naturals, for example, 23550013 + ... + 23559779.

Almost surely, 2230060669232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230060669232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310811821056).

230060669232 is an abundant number, since it is smaller than the sum of its proper divisors (391562972880).

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

230060669232 is a wasteful number, since it uses less digits than its factorization.

230060669232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 230060669232 in words is "two hundred thirty billion, sixty million, six hundred sixty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 53 94 106 141 159 188 197 212 282 318 376 394 424 564 591 636 752 788 848 1128 1182 1272 1576 2256 2364 2491 2544 3152 4728 4982 7473 9259 9456 9767 9964 10441 14946 18518 19534 19928 20882 27777 29301 29892 31323 37036 39068 39856 41764 55554 58602 59784 62646 74072 78136 83528 111108 117204 119568 125292 148144 156272 167056 222216 234408 250584 444432 459049 468816 490727 501168 517651 918098 981454 1035302 1377147 1472181 1552953 1836196 1924099 1962908 2070604 2754294 2944362 3105906 3672392 3848198 3925816 4141208 5508588 5772297 5888724 6211812 7344784 7696396 7851632 8282416 11017176 11544594 11777448 12423624 15392792 22034352 23089188 23554896 24329597 24847248 30785584 46178376 48659194 72988791 90432653 92356752 97318388 101977247 145977582 180865306 194636776 203954494 271297959 291955164 305931741 361730612 389273552 407908988 542595918 583910328 611863482 723461224 815817976 1085191836 1167820656 1223726964 1446922448 1631635952 2170383672 2447453928 4340767344 4792930609 4894907856 9585861218 14378791827 19171722436 28757583654 38343444872 57515167308 76686889744 115030334616 230060669232