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212008840 = 23519713929
BaseRepresentation
bin11001010001011…
…11111110001000
3112202221011110021
430220233332020
5413233240330
633012030224
75153021401
oct1450577610
9482834407
10212008840
11a974541a
125b002374
1334c00324
142022a9a8
151392c67a
hexca2ff88

212008840 has 64 divisors (see below), whose sum is σ = 509328000. Its totient is φ = 79188480.

The previous prime is 212008807. The next prime is 212008843. The reversal of 212008840 is 48800212.

It is not an unprimeable number, because it can be changed into a prime (212008843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51996 + ... + 55924.

It is an arithmetic number, because the mean of its divisors is an integer number (7958250).

Almost surely, 2212008840 is an apocalyptic number.

212008840 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 212008840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254664000).

212008840 is an abundant number, since it is smaller than the sum of its proper divisors (297319160).

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

212008840 is a wasteful number, since it uses less digits than its factorization.

212008840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 212008840 is about 14560.5233422429. The cubic root of 212008840 is about 596.2814834816.

The spelling of 212008840 in words is "two hundred twelve million, eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 152 190 284 355 380 568 710 760 1349 1420 2698 2840 3929 5396 6745 7858 10792 13490 15716 19645 26980 31432 39290 53960 74651 78580 149302 157160 278959 298604 373255 557918 597208 746510 1115836 1394795 1493020 2231672 2789590 2986040 5300221 5579180 10600442 11158360 21200884 26501105 42401768 53002210 106004420 212008840