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212898816 = 21032131777
BaseRepresentation
bin11001011000010…
…01010000000000
3112211121101021100
430230021100000
5414000230231
633043054400
75163416154
oct1454112000
9484541240
10212898816
11aa1a3039
125b371400
1335152440
14203bd064
1513a561e6
hexcb09400

212898816 has 132 divisors (see below), whose sum is σ = 662401012. Its totient is φ = 65470464.

The previous prime is 212898811. The next prime is 212898821. The reversal of 212898816 is 618898212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212898811) and next prime (212898821).

It can be written as a sum of positive squares in 2 ways, for example, as 66585600 + 146313216 = 8160^2 + 12096^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212898811) 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, 118920 + ... + 120696.

Almost surely, 2212898816 is an apocalyptic number.

212898816 is a gapful number since it is divisible by the number (26) 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 212898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331200506).

212898816 is an abundant number, since it is smaller than the sum of its proper divisors (449502196).

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

212898816 is a wasteful number, since it uses less digits than its factorization.

212898816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1795 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 212898816 is about 14591.0526008236. The cubic root of 212898816 is about 597.1146804598.

The spelling of 212898816 in words is "two hundred twelve million, eight hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1777 1872 2304 2496 3072 3328 3554 3744 4608 4992 5331 6656 7108 7488 9216 9984 10662 13312 14216 14976 15993 19968 21324 23101 28432 29952 31986 39936 42648 46202 56864 59904 63972 69303 85296 92404 113728 119808 127944 138606 170592 184808 207909 227456 255888 277212 341184 369616 415818 454912 511776 554424 682368 739232 831636 909824 1023552 1108848 1364736 1478464 1663272 1819648 2047104 2217696 2729472 2956928 3326544 4094208 4435392 5458944 5913856 6653088 8188416 8870784 11827712 13306176 16376832 17741568 23655424 26612352 35483136 53224704 70966272 106449408 212898816