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2140222144 = 26314325087
BaseRepresentation
bin111111110010001…
…0011001011000000
312112011012112211211
41333210103023000
513340344102034
6552212215504
7104015405464
oct17744231300
95464175754
102140222144
119a9110635
124b890a594
13281531848
1416435a4a4
15c7d5ed64
hex7f9132c0

2140222144 has 56 divisors (see below), whose sum is σ = 4486135808. Its totient is φ = 1011467520.

The previous prime is 2140222129. The next prime is 2140222171. The reversal of 2140222144 is 4412220412.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72769 + ... + 97855.

It is an arithmetic number, because the mean of its divisors is an integer number (80109568).

Almost surely, 22140222144 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 2140222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243067904).

2140222144 is an abundant number, since it is smaller than the sum of its proper divisors (2345913664).

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

2140222144 is a wasteful number, since it uses less digits than its factorization.

2140222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25173 (or 25163 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2140222144 is about 46262.5349932318. The cubic root of 2140222144 is about 1288.7033310005.

Adding to 2140222144 its reverse (4412220412), we get a palindrome (6552442556).

The spelling of 2140222144 in words is "two billion, one hundred forty million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 496 688 992 1333 1376 1984 2666 2752 5332 10664 21328 25087 42656 50174 85312 100348 200696 401392 777697 802784 1078741 1555394 1605568 2157482 3110788 4314964 6221576 8629928 12443152 17259856 24886304 33440971 34519712 49772608 66881942 69039424 133763884 267527768 535055536 1070111072 2140222144