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22000817020 = 22571322395399
BaseRepresentation
bin10100011111010110…
…011101001101111100
32002210021102022012211
4110133112131031330
5330024202121040
614035041510204
71406125600450
oct243726351574
962707368184
1022000817020
11936a984506
124320042364
1320c8079b30
1410c9d14660
1588b7408ea
hex51f59d37c

22000817020 has 96 divisors (see below), whose sum is σ = 56899584000. Its totient is φ = 6958497024.

The previous prime is 22000817017. The next prime is 22000817023. The reversal of 22000817020 is 2071800022.

It is an interprime number because it is at equal distance from previous prime (22000817017) and next prime (22000817023).

It is a junction number, because it is equal to n+sod(n) for n = 22000816982 and 22000817000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000817023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4072281 + ... + 4077679.

It is an arithmetic number, because the mean of its divisors is an integer number (592704000).

Almost surely, 222000817020 is an apocalyptic number.

22000817020 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 22000817020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449792000).

22000817020 is an abundant number, since it is smaller than the sum of its proper divisors (34898766980).

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

22000817020 is a wasteful number, since it uses less digits than its factorization.

22000817020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The spelling of 22000817020 in words is "twenty-two billion, eight hundred seventeen thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2239 4478 5399 8956 10798 11195 15673 21596 22390 26995 29107 31346 37793 44780 53990 58214 62692 70187 75586 78365 107980 116428 140374 145535 151172 156730 188965 203749 280748 291070 313460 350935 377930 407498 491309 582140 701870 755860 814996 982618 1018745 1403740 1965236 2037490 2456545 4074980 4913090 9826180 12088361 24176722 48353444 60441805 84618527 120883610 157148693 169237054 241767220 314297386 338474108 423092635 628594772 785743465 846185270 1100040851 1571486930 1692370540 2200081702 3142973860 4400163404 5500204255 11000408510 22000817020