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212213040 = 243513174001
BaseRepresentation
bin11001010011000…
…01110100110000
3112210022112120020
430221201310300
5413311304130
633020243440
75154531624
oct1451416460
9483275506
10212213040
11a9874886
125b0a0580
1334c72260
1420281184
151396ce10
hexca61d30

212213040 has 160 divisors (see below), whose sum is σ = 750326976. Its totient is φ = 49152000.

The previous prime is 212212999. The next prime is 212213051. The reversal of 212213040 is 40312212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51040 + ... + 55040.

Almost surely, 2212213040 is an apocalyptic number.

212213040 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 212213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375163488).

212213040 is an abundant number, since it is smaller than the sum of its proper divisors (538113936).

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

212213040 is a wasteful number, since it uses less digits than its factorization.

212213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212213040 is about 14567.5337651917. The cubic root of 212213040 is about 596.4728616774.

Adding to 212213040 its reverse (40312212), we get a palindrome (252525252).

The spelling of 212213040 in words is "two hundred twelve million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4001 4080 4420 5304 6630 8002 8840 10608 12003 13260 16004 17680 20005 24006 26520 32008 40010 48012 52013 53040 60015 64016 68017 80020 96024 104026 120030 136034 156039 160040 192048 204051 208052 240060 260065 272068 312078 320080 340085 408102 416104 480120 520130 544136 624156 680170 780195 816204 832208 884221 960240 1020255 1040260 1088272 1248312 1360340 1560390 1632408 1768442 2040510 2080520 2496624 2652663 2720680 3120780 3264816 3536884 4081020 4161040 4421105 5305326 5441360 6241560 7073768 8162040 8842210 10610652 12483120 13263315 14147536 16324080 17684420 21221304 26526630 35368840 42442608 53053260 70737680 106106520 212213040