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212990352 = 24337432789
BaseRepresentation
bin11001011000111…
…11100110010000
3112211210000211120
430230133212100
5414011142402
633045042240
75164250061
oct1454374620
9484700746
10212990352
11aa255893
125b3b6380
1335184cc3
1420404568
1513a733bc
hexcb1f990

212990352 has 80 divisors (see below), whose sum is σ = 578445120. Its totient is φ = 67447296.

The previous prime is 212990339. The next prime is 212990353. The reversal of 212990352 is 253099212.

212990352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212990353) 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, 74974 + ... + 77762.

It is an arithmetic number, because the mean of its divisors is an integer number (7230564).

Almost surely, 2212990352 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 212990352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289222560).

212990352 is an abundant number, since it is smaller than the sum of its proper divisors (365454768).

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

212990352 is a wasteful number, since it uses less digits than its factorization.

212990352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 212990352 is about 14594.1889805498. The cubic root of 212990352 is about 597.2002448278.

The spelling of 212990352 in words is "two hundred twelve million, nine hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1591 1776 2064 2789 3182 4773 5578 6364 8367 9546 11156 12728 16734 19092 22312 25456 33468 38184 44624 66936 76368 103193 119927 133872 206386 239854 309579 359781 412772 479708 619158 719562 825544 959416 1238316 1439124 1651088 1918832 2476632 2878248 4437299 4953264 5756496 8874598 13311897 17749196 26623794 35498392 53247588 70996784 106495176 212990352