Search a number
-
+
212736996 = 223319432411
BaseRepresentation
bin11001010111000…
…01101111100100
3112211022011022000
430223201233210
5413430040441
633035405300
75162143323
oct1453415744
9484264260
10212736996
11aa0a24aa
125b2b3830
13350c68a4
142037a0ba
1513a232b6
hexcae1be4

212736996 has 96 divisors (see below), whose sum is σ = 594316800. Its totient is φ = 65590560.

The previous prime is 212736983. The next prime is 212737027. The reversal of 212736996 is 699637212.

It is a happy number.

212736996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 87031 + ... + 89441.

It is an arithmetic number, because the mean of its divisors is an integer number (6190800).

Almost surely, 2212736996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212736996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297158400).

212736996 is an abundant number, since it is smaller than the sum of its proper divisors (381579804).

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

212736996 is a wasteful number, since it uses less digits than its factorization.

212736996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2478 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 212736996 is about 14585.5063676240. The cubic root of 212736996 is about 596.9633572621.

The spelling of 212736996 in words is "two hundred twelve million, seven hundred thirty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 43 54 57 76 86 108 114 129 171 172 228 258 342 387 513 516 684 774 817 1026 1161 1548 1634 2052 2322 2411 2451 3268 4644 4822 4902 7233 7353 9644 9804 14466 14706 21699 22059 28932 29412 43398 44118 45809 65097 86796 88236 91618 103673 130194 137427 183236 207346 260388 274854 311019 412281 414692 549708 622038 824562 933057 1236843 1244076 1649124 1866114 1969787 2473686 2799171 3732228 3939574 4947372 5598342 5909361 7879148 11196684 11818722 17728083 23637444 35456166 53184249 70912332 106368498 212736996