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20020022000 = 2453117911519
BaseRepresentation
bin10010101001010010…
…010100101011110000
31220200020012111021022
4102221102110223300
5312000111201000
613110322315012
71306054244036
oct225122245360
956606174238
1020020022000
118543864930
123a687b8a68
131b70898084
14d7cc18556
157c28c3585
hex4a9494af0

20020022000 has 160 divisors (see below), whose sum is σ = 53482291200. Its totient is φ = 7187232000.

The previous prime is 20020021993. The next prime is 20020022051. The reversal of 20020022000 is 22002002.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1732241 + ... + 1743759.

It is an arithmetic number, because the mean of its divisors is an integer number (334264320).

Almost surely, 220020022000 is an apocalyptic number.

20020022000 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 20020022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26741145600).

20020022000 is an abundant number, since it is smaller than the sum of its proper divisors (33462269200).

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

20020022000 is a wasteful number, since it uses less digits than its factorization.

20020022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11632 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20020022000 its reverse (22002002), we get a palindrome (20042024002).

It can be divided in two parts, 2002002 and 2000, that added together give a palindrome (2004002).

The spelling of 20020022000 in words is "twenty billion, twenty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 79 80 88 100 110 125 158 176 200 220 250 275 316 395 400 440 500 550 632 790 869 880 1000 1100 1264 1375 1580 1738 1975 2000 2200 2750 3160 3476 3950 4345 4400 5500 6320 6952 7900 8690 9875 11000 11519 13904 15800 17380 19750 21725 22000 23038 31600 34760 39500 43450 46076 57595 69520 79000 86900 92152 108625 115190 126709 158000 173800 184304 217250 230380 253418 287975 347600 434500 460760 506836 575950 633545 869000 910001 921520 1013672 1151900 1267090 1439875 1738000 1820002 2027344 2303800 2534180 2879750 3167725 3640004 4550005 4607600 5068360 5759500 6335450 7280008 9100010 10010011 10136720 11519000 12670900 14560016 15838625 18200020 20020022 22750025 23038000 25341800 31677250 36400040 40040044 45500050 50050055 50683600 63354500 72800080 80080088 91000100 100100110 113750125 126709000 160160176 182000200 200200220 227500250 250250275 253418000 364000400 400400440 455000500 500500550 800800880 910001000 1001001100 1251251375 1820002000 2002002200 2502502750 4004004400 5005005500 10010011000 20020022000