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233023234240 = 2656713779333
BaseRepresentation
bin1101100100000101000…
…1000110000011000000
3211021110210022210121001
43121001101012003000
512304212421443430
6255014400341344
722556350544566
oct3310121060300
9737423283531
10233023234240
118a9085a4925
12391b3014854
1318c87b42074
14b3c7c5da36
1560dc6d13ca
hex36414460c0

233023234240 has 112 divisors (see below), whose sum is σ = 567286335072. Its totient is φ = 91146756096.

The previous prime is 233023234217. The next prime is 233023234253. The reversal of 233023234240 is 42432320332.

It is a junction number, because it is equal to n+sod(n) for n = 233023234199 and 233023234208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2897614 + ... + 2976946.

Almost surely, 2233023234240 is an apocalyptic number.

233023234240 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 233023234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283643167536).

233023234240 is an abundant number, since it is smaller than the sum of its proper divisors (334263100832).

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

233023234240 is a wasteful number, since it uses less digits than its factorization.

233023234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79554 (or 79544 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 233023234240 its reverse (42432320332), we get a palindrome (275455554572).

The spelling of 233023234240 in words is "two hundred thirty-three billion, twenty-three million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 137 160 268 274 320 335 536 548 670 685 1072 1096 1340 1370 2144 2192 2680 2740 4288 4384 5360 5480 8768 9179 10720 10960 18358 21440 21920 36716 43840 45895 73432 79333 91790 146864 158666 183580 293728 317332 367160 396665 587456 634664 734320 793330 1269328 1468640 1586660 2538656 2937280 3173320 5077312 5315311 6346640 10630622 10868621 12693280 21261244 21737242 25386560 26576555 42522488 43474484 53153110 54343105 85044976 86948968 106306220 108686210 170089952 173897936 212612440 217372420 340179904 347795872 425224880 434744840 695591744 728197607 850449760 869489680 1456395214 1700899520 1738979360 2912790428 3477958720 3640988035 5825580856 7281976070 11651161712 14563952140 23302323424 29127904280 46604646848 58255808560 116511617120 233023234240