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20310222960 = 2433526173593
BaseRepresentation
bin10010111010100101…
…010110100001110000
31221102110021020011000
4102322211112201300
5313043404113320
613155210322000
71316210022006
oct227245264160
957373236130
1020310222960
118682656135
123b29a29300
131bb8a44911
14da959aa76
157dd0e8c90
hex4ba956870

20310222960 has 160 divisors (see below), whose sum is σ = 70003644480. Its totient is φ = 5412483072.

The previous prime is 20310222943. The next prime is 20310223001. The reversal of 20310222960 is 6922201302.

It is a super-2 number, since 2×203102229602 (a number of 21 digits) contains 22 as substring.

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

It is a congruent 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, 5650924 + ... + 5654516.

It is an arithmetic number, because the mean of its divisors is an integer number (437522778).

Almost surely, 220310222960 is an apocalyptic number.

20310222960 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 20310222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35001822240).

20310222960 is an abundant number, since it is smaller than the sum of its proper divisors (49693421520).

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

20310222960 is a wasteful number, since it uses less digits than its factorization.

20310222960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 20310222960 in words is "twenty billion, three hundred ten million, two hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2617 3593 5234 7186 7851 10468 10779 13085 14372 15702 17965 20936 21558 23553 26170 28744 31404 32337 35930 39255 41872 43116 47106 52340 53895 57488 62808 64674 70659 71860 78510 86232 94212 97011 104680 107790 117765 125616 129348 141318 143720 157020 161685 172464 188424 194022 209360 215580 235530 258696 282636 287440 314040 323370 353295 376848 388044 431160 471060 485055 517392 565272 628080 646740 706590 776088 862320 942120 970110 1130544 1293480 1413180 1552176 1884240 1940220 2586960 2826360 3880440 5652720 7760880 9402881 18805762 28208643 37611524 47014405 56417286 75223048 84625929 94028810 112834572 141043215 150446096 169251858 188057620 225669144 253877787 282086430 338503716 376115240 423129645 451338288 507755574 564172860 677007432 752230480 846259290 1015511148 1128345720 1269388935 1354014864 1692518580 2031022296 2256691440 2538777870 3385037160 4062044592 5077555740 6770074320 10155111480 20310222960