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23132223120 = 2435475338693
BaseRepresentation
bin10101100010110010…
…011011011010010000
32012201010100200121110
4111202302123122100
5334333322114440
614343215453320
71446144436506
oct254262333220
965633320543
1023132223120
1198a059a676
124596b27240
1322485a57b6
1411962aa676
15905c2c080
hex562c9b690

23132223120 has 160 divisors (see below), whose sum is σ = 74619366912. Its totient is φ = 5923280896.

The previous prime is 23132223109. The next prime is 23132223211. The reversal of 23132223120 is 2132223132.

It is a happy number.

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, 578494 + ... + 617186.

Almost surely, 223132223120 is an apocalyptic number.

23132223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37309683456).

23132223120 is an abundant number, since it is smaller than the sum of its proper divisors (51487143792).

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

23132223120 is a wasteful number, since it uses less digits than its factorization.

23132223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38809 (or 38803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23132223120 its reverse (2132223132), we get a palindrome (25264446252).

The spelling of 23132223120 in words is "twenty-three billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 53 60 80 94 106 120 141 159 188 212 235 240 265 282 318 376 424 470 530 564 636 705 752 795 848 940 1060 1128 1272 1410 1590 1880 2120 2256 2491 2544 2820 3180 3760 4240 4982 5640 6360 7473 9964 11280 12455 12720 14946 19928 24910 29892 37365 38693 39856 49820 59784 74730 77386 99640 116079 119568 149460 154772 193465 199280 232158 298920 309544 386930 464316 580395 597840 619088 773860 928632 1160790 1547720 1818571 1857264 2050729 2321580 3095440 3637142 4101458 4643160 5455713 6152187 7274284 8202916 9092855 9286320 10253645 10911426 12304374 14548568 16405832 18185710 20507290 21822852 24608748 27278565 29097136 30760935 32811664 36371420 41014580 43645704 49217496 54557130 61521870 72742840 82029160 87291408 96384263 98434992 109114260 123043740 145485680 164058320 192768526 218228520 246087480 289152789 385537052 436457040 481921315 492174960 578305578 771074104 963842630 1156611156 1445763945 1542148208 1927685260 2313222312 2891527890 3855370520 4626444624 5783055780 7710741040 11566111560 23132223120