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212234204400 = 243521131565149
BaseRepresentation
bin1100010110101000100…
…1001111010011110000
3202021210222002122212220
43011222021033103300
511434123424020100
6241255443321040
721222234654261
oct3055211172360
9667728078786
10212234204400
118200a748029
1235170980180
1317023b5588a
14a3b4c66968
1557c2558aa0
hex316a24f4f0

212234204400 has 120 divisors (see below), whose sum is σ = 685873772400. Its totient is φ = 56094904320.

The previous prime is 212234204393. The next prime is 212234204401. The reversal of 212234204400 is 4402432212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212234204401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646975 + ... + 918174.

It is an arithmetic number, because the mean of its divisors is an integer number (5715614770).

Almost surely, 2212234204400 is an apocalyptic number.

212234204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212234204400 is an abundant number, since it is smaller than the sum of its proper divisors (473639568000).

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

212234204400 is a wasteful number, since it uses less digits than its factorization.

212234204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565283 (or 1565272 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 212234204400 its reverse (4402432212), we get a palindrome (216636636612).

The spelling of 212234204400 in words is "two hundred twelve billion, two hundred thirty-four million, two hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 150 200 226 240 300 339 400 452 565 600 678 904 1130 1200 1356 1695 1808 2260 2712 2825 3390 4520 5424 5650 6780 8475 9040 11300 13560 16950 22600 27120 33900 45200 67800 135600 1565149 3130298 4695447 6260596 7825745 9390894 12521192 15651490 18781788 23477235 25042384 31302980 37563576 39128725 46954470 62605960 75127152 78257450 93908940 117386175 125211920 156514900 176861837 187817880 234772350 313029800 353723674 375635760 469544700 530585511 626059600 707447348 884309185 939089400 1061171022 1414894696 1768618370 1878178800 2122342044 2652927555 2829789392 3537236740 4244684088 4421545925 5305855110 7074473480 8489368176 8843091850 10611710220 13264637775 14148946960 17686183700 21223420440 26529275550 35372367400 42446840880 53058551100 70744734800 106117102200 212234204400