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230033302212 = 223723710997003
BaseRepresentation
bin1101011000111100001…
…1011010001011000100
3210222202102020111220210
43112033003122023010
512232102011132322
6253401551555420
722422303543600
oct3261703321304
9728672214823
10230033302212
118961389071a
12386b982bb70
13188cc57430c
14b1c2b18500
155eb4e7a70c
hex358f0da2c4

230033302212 has 144 divisors (see below), whose sum is σ = 647140845120. Its totient is φ = 63360154368.

The previous prime is 230033302123. The next prime is 230033302267. The reversal of 230033302212 is 212203330032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2322903 + ... + 2419905.

Almost surely, 2230033302212 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 230033302212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323570422560).

230033302212 is an abundant number, since it is smaller than the sum of its proper divisors (417107542908).

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

230033302212 is a wasteful number, since it uses less digits than its factorization.

230033302212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97170 (or 97161 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230033302212 its reverse (212203330032), we get a palindrome (442236632244).

The spelling of 230033302212 in words is "two hundred thirty billion, thirty-three million, three hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 109 111 147 148 196 218 222 259 294 327 436 444 518 588 654 763 777 1036 1308 1526 1554 1813 2289 3052 3108 3626 4033 4578 5341 5439 7252 8066 9156 10682 10878 12099 16023 16132 21364 21756 24198 28231 32046 48396 56462 64092 84693 97003 112924 169386 194006 197617 291009 338772 388012 395234 582018 592851 679021 790468 1164036 1185702 1358042 2037063 2371404 2716084 3589111 4074126 4753147 7178222 8148252 9506294 10573327 10767333 14259441 14356444 19012588 21146654 21534666 25123777 28518882 31719981 42293308 43069332 50247554 57037764 63439962 74013289 75371331 100495108 126879924 148026578 150742662 175866439 222039867 296053156 301485324 351732878 391213099 444079734 518093023 527599317 703465756 782426198 888159468 1036186046 1055198634 1173639297 1554279069 1564852396 2072372092 2110397268 2347278594 2738491693 3108558138 4694557188 5476983386 6217116276 8215475079 10953966772 16430950158 19169441851 32861900316 38338883702 57508325553 76677767404 115016651106 230033302212