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212801472 = 2633139473
BaseRepresentation
bin11001010111100…
…01011111000000
3112211102102202000
430223301133000
5413434121342
633041024000
75162532312
oct1453613700
9484372660
10212801472
11aa136994
125b325000
133511a040
14203957b2
1513a3744c
hexcaf17c0

212801472 has 112 divisors (see below), whose sum is σ = 673790880. Its totient is φ = 65470464.

The previous prime is 212801471. The next prime is 212801483. The reversal of 212801472 is 274108212.

212801472 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212801471) 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, 17728 + ... + 27200.

It is an arithmetic number, because the mean of its divisors is an integer number (6015990).

Almost surely, 2212801472 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 212801472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336895440).

212801472 is an abundant number, since it is smaller than the sum of its proper divisors (460989408).

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

212801472 is a wasteful number, since it uses less digits than its factorization.

212801472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 212801472 is about 14587.7164765429. The cubic root of 212801472 is about 597.0236600810.

Adding to 212801472 its reverse (274108212), we get a palindrome (486909684).

The spelling of 212801472 in words is "two hundred twelve million, eight hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 9473 11232 18946 22464 28419 37892 56838 75784 85257 113676 123149 151568 170514 227352 246298 255771 303136 341028 369447 454704 492596 511542 606272 682056 738894 909408 985192 1023084 1108341 1364112 1477788 1818816 1970384 2046168 2216682 2728224 2955576 3325023 3940768 4092336 4433364 5456448 5911152 6650046 7881536 8184672 8866728 11822304 13300092 16369344 17733456 23644608 26600184 35466912 53200368 70933824 106400736 212801472