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2121219920 = 24559449411
BaseRepresentation
bin111111001101111…
…0011111101010000
312110211110010200202
41332123303331100
513321013014140
6550253034332
7103365033431
oct17633637520
95424403622
102121219920
11999411a16
124b24859a8
1327a60a621
14161a11488
15c6359915
hex7e6f3f50

2121219920 has 40 divisors (see below), whose sum is σ = 5015437920. Its totient is φ = 834104960.

The previous prime is 2121219899. The next prime is 2121219929. The reversal of 2121219920 is 299121212.

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 (2121219929) 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, 219986 + ... + 229425.

It is an arithmetic number, because the mean of its divisors is an integer number (125385948).

Almost surely, 22121219920 is an apocalyptic number.

2121219920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121219920 is an abundant number, since it is smaller than the sum of its proper divisors (2894218000).

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

2121219920 is a wasteful number, since it uses less digits than its factorization.

2121219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449483 (or 449477 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 2121219920 is about 46056.7033123301. The cubic root of 2121219920 is about 1284.8780173589.

The spelling of 2121219920 in words is "two billion, one hundred twenty-one million, two hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 449411 898822 1797644 2247055 3595288 4494110 7190576 8988220 17976440 26515249 35952880 53030498 106060996 132576245 212121992 265152490 424243984 530304980 1060609960 2121219920