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220252013070 = 235379714913729
BaseRepresentation
bin1100110100100000001…
…0110000001000001110
3210001111202000112200120
43031020002300020032
512102034003404240
6245103221005410
721625023135615
oct3151002601016
9701452015616
10220252013070
1185454579391
1236829b53866
1317a00c9286b
14a935a4887c
155ae13c0ad0
hex33480b020e

220252013070 has 128 divisors (see below), whose sum is σ = 552209616000. Its totient is φ = 56173658112.

The previous prime is 220252013041. The next prime is 220252013071. The reversal of 220252013070 is 70310252022.

It is a happy number.

It is a super-2 number, since 2×2202520130702 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 220252013070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220252013071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16035966 + ... + 16049694.

It is an arithmetic number, because the mean of its divisors is an integer number (4314137625).

Almost surely, 2220252013070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220252013070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276104808000).

220252013070 is an abundant number, since it is smaller than the sum of its proper divisors (331957602930).

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

220252013070 is a wasteful number, since it uses less digits than its factorization.

220252013070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14022.

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 220252013070 its reverse (70310252022), we get a palindrome (290562265092).

The spelling of 220252013070 in words is "two hundred twenty billion, two hundred fifty-two million, thirteen thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 97 111 149 185 194 222 291 298 370 447 485 555 582 745 894 970 1110 1455 1490 2235 2910 3589 4470 5513 7178 10767 11026 13729 14453 16539 17945 21534 27458 27565 28906 33078 35890 41187 43359 53835 55130 68645 72265 82374 82695 86718 107670 137290 144530 165390 205935 216795 411870 433590 507973 534761 1015946 1069522 1331713 1523919 1604283 2045621 2539865 2663426 2673805 3047838 3208566 3995139 4091242 5079730 5347610 6136863 6658565 7619595 7990278 8021415 10228105 12273726 13317130 15239190 16042830 19975695 20456210 30684315 39951390 49273381 61368630 75687977 98546762 147820143 151375954 198425237 227063931 246366905 295640286 378439885 396850474 454127862 492733810 595275711 739100715 756879770 992126185 1135319655 1190551422 1478201430 1984252370 2270639310 2976378555 5952757110 7341733769 14683467538 22025201307 36708668845 44050402614 73417337690 110126006535 220252013070