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212224132100 = 22526773134773
BaseRepresentation
bin1100010110100110001…
…0110100010000000100
3202021210021010221021202
43011221202310100010
511434113334211400
6241254443402032
721222053234051
oct3055142642004
9667707127252
10212224132100
1182004a98612
1235169523318
1317021a3a136
14a3b37a4028
1557c17194d5
hex31698b4404

212224132100 has 36 divisors (see below), whose sum is σ = 461206759524. Its totient is φ = 84764234880.

The previous prime is 212224132079. The next prime is 212224132103. The reversal of 212224132100 is 1231422212.

It can be written as a sum of positive squares in 6 ways, for example, as 1948692736 + 210275439364 = 44144^2 + 458558^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212224132103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1499687 + ... + 1635086.

Almost surely, 2212224132100 is an apocalyptic number.

212224132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212224132100 is an abundant number, since it is smaller than the sum of its proper divisors (248982627424).

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

212224132100 is a wasteful number, since it uses less digits than its factorization.

212224132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135464 (or 3135457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212224132100 its reverse (1231422212), we get a palindrome (213455554312).

The spelling of 212224132100 in words is "two hundred twelve billion, two hundred twenty-four million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 677 1354 2708 3385 6770 13540 16925 33850 67700 3134773 6269546 12539092 15673865 31347730 62695460 78369325 156738650 313477300 2122241321 4244482642 8488965284 10611206605 21222413210 42444826420 53056033025 106112066050 212224132100