Search a number
-
+
222102210021200 = 24521732662089709
BaseRepresentation
bin110010100000000000110011…
…010101010000011101010000
31002010101202121220010110120222
4302200000303111100131100
5213102410311231134300
62104212202520052212
764532232545600465
oct6240006325203520
91063352556113528
10222102210021200
1164850022400973
1220ab0a90904068
1396c11c1446462
143cbbb390bb66c
151aa25c5188785
hexca0033550750

222102210021200 has 60 divisors (see below), whose sum is σ = 564988827803580. Its totient is φ = 83614949652480.

The previous prime is 222102210021199. The next prime is 222102210021233. The reversal of 222102210021200 is 2120012201222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1690655263504 + 220411554757696 = 1300252^2 + 14846264^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16331038055 + ... + 16331051654.

It is an arithmetic number, because the mean of its divisors is an integer number (9416480463393).

Almost surely, 2222102210021200 is an apocalyptic number.

222102210021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222102210021200 is an abundant number, since it is smaller than the sum of its proper divisors (342886617782380).

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

222102210021200 is a wasteful number, since it uses less digits than its factorization.

222102210021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32662089744 (or 32662089733 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222102210021200 its reverse (2120012201222), we get a palindrome (224222222222422).

The spelling of 222102210021200 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred ten million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 32662089709 65324179418 130648358836 163310448545 261296717672 326620897090 522593435344 555255525053 653241794180 816552242725 1110511050106 1306483588360 1633104485450 2221022100212 2612967176720 2776277625265 3266208970900 4442044200424 5552555250530 6532417941800 8884088400848 11105110501060 13064835883600 13881388126325 22210221002120 27762776252650 44420442004240 55525552505300 111051105010600 222102210021200