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2122233440 = 25556923311
BaseRepresentation
bin111111001111110…
…1011011001100000
312110220100121222112
41332133223121200
513321242432230
6550330454452
7103406454335
oct17637533140
95426317875
102122233440
11999a44438
124b2894428
1327a8a3a42
14161bd698c
15c64a9d95
hex7e7eb660

2122233440 has 48 divisors (see below), whose sum is σ = 5022803520. Its totient is φ = 847365120.

The previous prime is 2122233439. The next prime is 2122233467. The reversal of 2122233440 is 443322212.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 79385 + ... + 102695.

It is an arithmetic number, because the mean of its divisors is an integer number (104641740).

Almost surely, 22122233440 is an apocalyptic number.

2122233440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122233440 is an abundant number, since it is smaller than the sum of its proper divisors (2900570080).

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

2122233440 is a wasteful number, since it uses less digits than its factorization.

2122233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23895 (or 23887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2122233440 is about 46067.7049569435. The cubic root of 2122233440 is about 1285.0826232409.

Adding to 2122233440 its reverse (443322212), we get a palindrome (2565555652).

The spelling of 2122233440 in words is "two billion, one hundred twenty-two million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 569 1138 2276 2845 4552 5690 9104 11380 18208 22760 23311 45520 46622 91040 93244 116555 186488 233110 372976 466220 745952 932440 1864880 3729760 13263959 26527918 53055836 66319795 106111672 132639590 212223344 265279180 424446688 530558360 1061116720 2122233440