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214021212200 = 23522921272421
BaseRepresentation
bin1100011101010010101…
…0001000100000101000
3202110102111200001201222
43013110222020200220
512001303412242300
6242153041201212
721314434200455
oct3072452104050
9673374601658
10214021212200
1182847438484
123558b330208
131724a147143
14a50431a82c
155879397785
hex31d4a88828

214021212200 has 72 divisors (see below), whose sum is σ = 515349996330. Its totient is φ = 82656403200.

The previous prime is 214021212191. The next prime is 214021212257. The reversal of 214021212200 is 2212120412.

214021212200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 31553837956 + 182467374244 = 177634^2 + 427162^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 468011 + ... + 804410.

Almost surely, 2214021212200 is an apocalyptic number.

214021212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214021212200 is an abundant number, since it is smaller than the sum of its proper divisors (301328784130).

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

214021212200 is a wasteful number, since it uses less digits than its factorization.

214021212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272495 (or 1272457 counting only the distinct ones).

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

Adding to 214021212200 its reverse (2212120412), we get a palindrome (216233332612).

The spelling of 214021212200 in words is "two hundred fourteen billion, twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 841 1160 1450 1682 2900 3364 4205 5800 6728 8410 16820 21025 33640 42050 84100 168200 1272421 2544842 5089684 6362105 10179368 12724210 25448420 31810525 36900209 50896840 63621050 73800418 127242100 147600836 184501045 254484200 295201672 369002090 738004180 922505225 1070106061 1476008360 1845010450 2140212122 3690020900 4280424244 5350530305 7380041800 8560848488 10701060610 21402121220 26752651525 42804242440 53505303050 107010606100 214021212200