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212944880 = 24511172383
BaseRepresentation
bin11001011000101…
…00011111110000
3112211200201110102
430230110133300
5414003214010
633044051532
75164000361
oct1454243760
9484621412
10212944880
11aa224705
125b393ba8
133516a3b5
14203d1b68
1513a64ba5
hexcb147f0

212944880 has 40 divisors (see below), whose sum is σ = 495748032. Its totient is φ = 85065984.

The previous prime is 212944867. The next prime is 212944889. The reversal of 212944880 is 88449212.

212944880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212944889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88169 + ... + 90551.

Almost surely, 2212944880 is an apocalyptic number.

212944880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212944880 is the 11915-th pentagonal number.

It is an amenable number.

212944880 is an abundant number, since it is smaller than the sum of its proper divisors (282803152).

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

212944880 is a wasteful number, since it uses less digits than its factorization.

212944880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 212944880 is about 14592.6310170579. The cubic root of 212944880 is about 597.1577423982.

The spelling of 212944880 in words is "two hundred twelve million, nine hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1117 2234 2383 4468 4766 5585 8936 9532 11170 11915 17872 19064 22340 23830 38128 44680 47660 89360 95320 190640 2661811 5323622 10647244 13309055 21294488 26618110 42588976 53236220 106472440 212944880