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20122022220 = 22357328116349
BaseRepresentation
bin10010101111010111…
…011011000101001100
31220221100010122021020
4102233113123011030
5312202214202340
613124404434140
71311433236546
oct225727330514
956840118236
1020122022220
1185963a2133
123a969a8950
131b88a5c131
14d8c5aa696
157cb8209d0
hex4af5db14c

20122022220 has 96 divisors (see below), whose sum is σ = 57320222400. Its totient is φ = 5273210880.

The previous prime is 20122022177. The next prime is 20122022227. The reversal of 20122022220 is 2222022102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20122022220.

It is not an unprimeable number, because it can be changed into a prime (20122022227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222606 + ... + 1238954.

It is an arithmetic number, because the mean of its divisors is an integer number (597085650).

Almost surely, 220122022220 is an apocalyptic number.

20122022220 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 20122022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28660111200).

20122022220 is an abundant number, since it is smaller than the sum of its proper divisors (37198200180).

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

20122022220 is a wasteful number, since it uses less digits than its factorization.

20122022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16715 (or 16713 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20122022220 its reverse (2222022102), we get a palindrome (22344044322).

The spelling of 20122022220 in words is "twenty billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 281 292 365 438 562 730 843 876 1095 1124 1405 1460 1686 2190 2810 3372 4215 4380 5620 8430 16349 16860 20513 32698 41026 49047 61539 65396 81745 82052 98094 102565 123078 163490 196188 205130 245235 246156 307695 326980 410260 490470 615390 980940 1193477 1230780 2386954 3580431 4594069 4773908 5967385 7160862 9188138 11934770 13782207 14321724 17902155 18376276 22970345 23869540 27564414 35804310 45940690 55128828 68911035 71608620 91881380 137822070 275644140 335367037 670734074 1006101111 1341468148 1676835185 2012202222 3353670370 4024404444 5030505555 6707340740 10061011110 20122022220