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212241024 = 2732296353
BaseRepresentation
bin11001010011010…
…00101010000000
3112210100221221200
430221220222000
5413313203044
633021021200
75155006332
oct1451505200
9483327850
10212241024
11a9893906
125b0b4800
1334c81c08
142028b452
1513976369
hexca68a80

212241024 has 96 divisors (see below), whose sum is σ = 631905300. Its totient is φ = 68296704.

The previous prime is 212241019. The next prime is 212241031. The reversal of 212241024 is 420142212.

It can be written as a sum of positive squares in 2 ways, for example, as 212226624 + 14400 = 14568^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212240988 and 212241006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30232 + ... + 36584.

Almost surely, 2212241024 is an apocalyptic number.

212241024 is a gapful number since it is divisible by the number (24) 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 212241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315952650).

212241024 is an abundant number, since it is smaller than the sum of its proper divisors (419664276).

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

212241024 is a wasteful number, since it uses less digits than its factorization.

212241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212241024 is about 14568.4942255540. The cubic root of 212241024 is about 596.4990789838.

Adding to 212241024 its reverse (420142212), we get a palindrome (632383236).

The spelling of 212241024 in words is "two hundred twelve million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 6353 8352 11136 12706 16704 19059 25412 33408 38118 50824 57177 76236 101648 114354 152472 184237 203296 228708 304944 368474 406592 457416 552711 609888 736948 813184 914832 1105422 1219776 1473896 1658133 1829664 2210844 2439552 2947792 3316266 3659328 4421688 5895584 6632532 7318656 8843376 11791168 13265064 17686752 23582336 26530128 35373504 53060256 70747008 106120512 212241024