Search a number
-
+
202112022000220 = 22547970981136691
BaseRepresentation
bin101101111101000111011111…
…010001101011001001011100
3222111121201110022122010202121
4231331013133101223021130
5202442400410113001340
61553504551530432324
760400053214154443
oct5575073721531134
9874551408563677
10202112022000220
1159443255407a02
121a8027b72926a4
1388a110abcb187
1437ca3ba03bd5a
1518575e692094a
hexb7d1df46b25c

202112022000220 has 96 divisors (see below), whose sum is σ = 426458024294400. Its totient is φ = 80460712108800.

The previous prime is 202112022000199. The next prime is 202112022000257. The reversal of 202112022000220 is 22000220211202.

It is a junction number, because it is equal to n+sod(n) for n = 202112022000194 and 202112022000203.

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, 5508472075 + ... + 5508508765.

It is an arithmetic number, because the mean of its divisors is an integer number (4442271086400).

Almost surely, 2202112022000220 is an apocalyptic number.

202112022000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112022000220 is an abundant number, since it is smaller than the sum of its proper divisors (224346002294180).

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

202112022000220 is a wasteful number, since it uses less digits than its factorization.

202112022000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38699 (or 38697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202112022000220 its reverse (22000220211202), we get a palindrome (224112242211422).

The spelling of 202112022000220 in words is "two hundred two trillion, one hundred twelve billion, twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 479 709 811 958 1418 1622 1916 2395 2836 3244 3545 4055 4790 7090 8110 9580 14180 16220 36691 73382 146764 183455 339611 366910 388469 574999 679222 733820 776938 1149998 1358444 1553876 1698055 1942345 2299996 2874995 3396110 3884690 5749990 6792220 7769380 11499980 17574989 26013919 29756401 35149978 52027838 59512802 70299956 87874945 104055676 119025604 130069595 148782005 175749890 260139190 275424521 297564010 351499780 520278380 550849042 595128020 1101698084 1377122605 2754245210 5508490420 12460667201 14253316079 21097288309 24921334402 28506632158 42194576618 49842668804 57013264316 62303336005 71266580395 84389153236 105486441545 124606672010 142533160790 210972883090 249213344020 285066321580 421945766180 10105601100011 20211202200022 40422404400044 50528005500055 101056011000110 202112022000220