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20320223220 = 22335113420913
BaseRepresentation
bin10010111011001011…
…011111111111110100
31221110011002021221000
4102323023133333310
5313103434120340
613200204523300
71316361022203
oct227313377764
957404067830
1020320223220
118688266510
123b31250530
131bbab3662b
14daaa4123a
157dde21d30
hex4bb2dfff4

20320223220 has 96 divisors (see below), whose sum is σ = 68965626240. Its totient is φ = 4926113280.

The previous prime is 20320223219. The next prime is 20320223243. The reversal of 20320223220 is 2232202302.

20320223220 is a `hidden beast` number, since 2 + 0 + 320 + 22 + 322 + 0 = 666.

It is a super-2 number, since 2×203202232202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20320223193 and 20320223202.

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, 1704517 + ... + 1716396.

It is an arithmetic number, because the mean of its divisors is an integer number (718391940).

Almost surely, 220320223220 is an apocalyptic number.

20320223220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20320223220 is an abundant number, since it is smaller than the sum of its proper divisors (48645403020).

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

20320223220 is a wasteful number, since it uses less digits than its factorization.

20320223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420942 (or 3420934 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20320223220 its reverse (2232202302), we get a palindrome (22552425522).

The spelling of 20320223220 in words is "twenty billion, three hundred twenty million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 3420913 6841826 10262739 13683652 17104565 20525478 30788217 34209130 37630043 41050956 51313695 61576434 68418260 75260086 92364651 102627390 112890129 123152868 150520172 153941085 184729302 188150215 205254780 225780258 307882170 338670387 369458604 376300430 451560516 461823255 564450645 615764340 677340774 752600860 923646510 1016011161 1128901290 1354681548 1693351935 1847293020 2032022322 2257802580 3386703870 4064044644 5080055805 6773407740 10160111610 20320223220