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23154303330 = 2335833133301
BaseRepresentation
bin10101100100000110…
…101010000101100010
32012202122220110222000
4111210012222011202
5334410000201310
614345325024430
71446533221344
oct254406520542
965678813860
1023154303330
119902000884
1245a23b5116
132250036a02
1411991b7294
15907b3e4c0
hex5641aa162

23154303330 has 128 divisors (see below), whose sum is σ = 62707357440. Its totient is φ = 6078758400.

The previous prime is 23154303269. The next prime is 23154303349. The reversal of 23154303330 is 3330345132.

It is a happy number.

23154303330 is a `hidden beast` number, since 23 + 1 + 5 + 4 + 303 + 330 = 666.

It is a super-2 number, since 2×231543033302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23154303294 and 23154303303.

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, 7012680 + ... + 7015980.

It is an arithmetic number, because the mean of its divisors is an integer number (489901230).

Almost surely, 223154303330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23154303330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31353678720).

23154303330 is an abundant number, since it is smaller than the sum of its proper divisors (39553054110).

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

23154303330 is a wasteful number, since it uses less digits than its factorization.

23154303330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 23154303330 its reverse (3330345132), we get a palindrome (26484648462).

It can be divided in two parts, 2315 and 4303330, that added together give a triangular number (4305645 = T2934).

The spelling of 23154303330 in words is "twenty-three billion, one hundred fifty-four million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 313 415 498 626 747 830 939 1245 1494 1565 1878 2241 2490 2817 3130 3301 3735 4482 4695 5634 6602 7470 8451 9390 9903 11205 14085 16505 16902 19806 22410 25979 28170 29709 33010 42255 49515 51958 59418 77937 84510 89127 99030 129895 148545 155874 178254 233811 259790 273983 297090 389685 445635 467622 547966 701433 779370 821949 891270 1033213 1169055 1369915 1402866 1643898 2066426 2338110 2465847 2739830 3099639 3507165 4109745 4931694 5166065 6199278 7014330 7397541 8219490 9298917 10332130 12329235 14795082 15498195 18597834 24658470 27896751 30996390 36987705 46494585 55793502 73975410 85756679 92989170 139483755 171513358 257270037 278967510 428783395 514540074 771810111 857566790 1286350185 1543620222 2315430333 2572700370 3859050555 4630860666 7718101110 11577151665 23154303330