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2121200232 = 233374575227
BaseRepresentation
bin111111001101110…
…1111001001101000
312110211102010200120
41332123233021220
513321011401412
6550252403240
7103364622144
oct17633571150
95424363616
102121200232
119993a9148
124b2476520
1327a601688
14161a08224
15c6353b8c
hex7e6ef268

2121200232 has 64 divisors (see below), whose sum is σ = 5459286720. Its totient is φ = 686320128.

The previous prime is 2121200209. The next prime is 2121200293. The reversal of 2121200232 is 2320021212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403203 + ... + 408429.

It is an arithmetic number, because the mean of its divisors is an integer number (85301355).

Almost surely, 22121200232 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 2121200232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729643360).

2121200232 is an abundant number, since it is smaller than the sum of its proper divisors (3338086488).

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

2121200232 is a wasteful number, since it uses less digits than its factorization.

2121200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2121200232 is about 46056.4895753031. The cubic root of 2121200232 is about 1284.8740421689.

Adding to 2121200232 its reverse (2320021212), we get a palindrome (4441221444).

The spelling of 2121200232 in words is "two billion, one hundred twenty-one million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 457 888 914 1371 1828 2742 3656 5227 5484 10454 10968 15681 16909 20908 31362 33818 41816 50727 62724 67636 101454 125448 135272 193399 202908 386798 405816 580197 773596 1160394 1547192 2320788 2388739 4641576 4777478 7166217 9554956 14332434 19109912 28664868 57329736 88383343 176766686 265150029 353533372 530300058 707066744 1060600116 2121200232