Search a number
-
+
22200023020120 = 235111013171575869
BaseRepresentation
bin1010000110000110110000…
…11111000111001001011000
32220121022010202220120210021
411003003120133013021120
510402211121343120440
6115114314430400224
74450620160112011
oct503033037071130
986538122816707
1022200023020120
117089a82272410
1225a661a960074
13c505b786723a
1456a6b5ca2008
1528771833384a
hex1430d87c7258

22200023020120 has 128 divisors (see below), whose sum is σ = 55204112865600. Its totient is φ = 7967588608000.

The previous prime is 22200023020099. The next prime is 22200023020157. The reversal of 22200023020120 is 2102032000222.

It is a junction number, because it is equal to n+sod(n) for n = 22200023020094 and 22200023020103.

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, 13299546 + ... + 14875414.

Almost surely, 222200023020120 is an apocalyptic number.

22200023020120 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 22200023020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27602056432800).

22200023020120 is an abundant number, since it is smaller than the sum of its proper divisors (33004089845480).

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

22200023020120 is a wasteful number, since it uses less digits than its factorization.

22200023020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576309 (or 1576305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22200023020120 its reverse (2102032000222), we get a palindrome (24302055020342).

The spelling of 22200023020120 in words is "twenty-two trillion, two hundred billion, twenty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 317 404 440 505 634 808 1010 1111 1268 1585 2020 2222 2536 3170 3487 4040 4444 5555 6340 6974 8888 11110 12680 13948 17435 22220 27896 32017 34870 44440 64034 69740 128068 139480 160085 256136 320170 352187 640340 704374 1280680 1408748 1575869 1760935 2817496 3151738 3521870 6303476 7043740 7879345 12606952 14087480 15758690 17334559 31517380 34669118 63034760 69338236 86672795 138676472 159162769 173345590 318325538 346691180 499550473 636651076 693382360 795813845 999100946 1273302152 1591627690 1750790459 1998201892 2497752365 3183255380 3501580918 3996403784 4995504730 5495055203 6366510760 7003161836 8753952295 9991009460 10990110406 14006323672 17507904590 19982018920 21980220812 27475276015 35015809180 43960441624 50454597773 54950552030 70031618360 100909195546 109901104060 201818391092 219802208120 252272988865 403636782184 504545977730 555000575503 1009091955460 1110001151006 2018183910920 2220002302012 2775002877515 4440004604024 5550005755030 11100011510060 22200023020120