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212260464 = 243213711597
BaseRepresentation
bin11001010011011…
…01011001110000
3112210101221121200
430221231121300
5413314313324
633021251200
75155120113
oct1451553160
9483357550
10212260464
11a98a7479
125b103b00
1334c8aa10
142029457a
151397bec9
hexca6d670

212260464 has 120 divisors (see below), whose sum is σ = 649145952. Its totient is φ = 64350720.

The previous prime is 212260397. The next prime is 212260469. The reversal of 212260464 is 464062212.

212260464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212260469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132114 + ... + 133710.

Almost surely, 2212260464 is an apocalyptic number.

212260464 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 212260464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324572976).

212260464 is an abundant number, since it is smaller than the sum of its proper divisors (436885488).

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

212260464 is a wasteful number, since it uses less digits than its factorization.

212260464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 212260464 is about 14569.1614034576. The cubic root of 212260464 is about 596.5172903360.

The spelling of 212260464 in words is "two hundred twelve million, two hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 71 72 78 104 117 142 144 156 208 213 234 284 312 426 468 568 624 639 852 923 936 1136 1278 1597 1704 1846 1872 2556 2769 3194 3408 3692 4791 5112 5538 6388 7384 8307 9582 10224 11076 12776 14373 14768 16614 19164 20761 22152 25552 28746 33228 38328 41522 44304 57492 62283 66456 76656 83044 113387 114984 124566 132912 166088 186849 226774 229968 249132 332176 340161 373698 453548 498264 680322 747396 907096 996528 1020483 1360644 1474031 1494792 1814192 2040966 2721288 2948062 2989584 4081932 4422093 5442576 5896124 8163864 8844186 11792248 13266279 16327728 17688372 23584496 26532558 35376744 53065116 70753488 106130232 212260464