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212203114000 = 2453193549749
BaseRepresentation
bin1100010110100001001…
…0101000111000010000
3202021201210121002212121
43011220102220320100
511434042444122000
6241252413104024
721221406464563
oct3055022507020
9667653532777
10212203114000
1181aa4142389
1235162488014
131701a58b4a7
14a3b0a924da
1557be966b1a
hex31684a8e10

212203114000 has 80 divisors (see below), whose sum is σ = 515766654000. Its totient is φ = 84441292800.

The previous prime is 212203113973. The next prime is 212203114007. The reversal of 212203114000 is 411302212.

It can be written as a sum of positive squares in 8 ways, for example, as 67733185536 + 144469928464 = 260256^2 + 380092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212203114007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111126 + ... + 660874.

It is an arithmetic number, because the mean of its divisors is an integer number (6447083175).

Almost surely, 2212203114000 is an apocalyptic number.

212203114000 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 212203114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257883327000).

212203114000 is an abundant number, since it is smaller than the sum of its proper divisors (303563540000).

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

212203114000 is a wasteful number, since it uses less digits than its factorization.

212203114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549965 (or 549949 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212203114000 its reverse (411302212), we get a palindrome (212614416212).

The spelling of 212203114000 in words is "two hundred twelve billion, two hundred three million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 772 965 1000 1544 1930 2000 3088 3860 4825 7720 9650 15440 19300 24125 38600 48250 77200 96500 193000 386000 549749 1099498 2198996 2748745 4397992 5497490 8795984 10994980 13743725 21989960 27487450 43979920 54974900 68718625 106101557 109949800 137437250 212203114 219899600 274874500 424406228 530507785 549749000 848812456 1061015570 1099498000 1697624912 2122031140 2652538925 4244062280 5305077850 8488124560 10610155700 13262694625 21220311400 26525389250 42440622800 53050778500 106101557000 212203114000