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2122420224 = 2123832081
BaseRepresentation
bin111111010000001…
…1001000000000000
312110220201010012110
41332200121000000
513321314421344
6550334455320
7103411163031
oct17640310000
95426633173
102122420224
1199a061801
124b2964540
1327a93aa72
14161c44a88
15c64e53b9
hex7e819000

2122420224 has 104 divisors (see below), whose sum is σ = 5730030432. Its totient is φ = 698613760.

The previous prime is 2122420217. The next prime is 2122420277. The reversal of 2122420224 is 4220242212.

It is a self number, because there is not a number n which added to its sum of digits gives 2122420224.

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, 1018864 + ... + 1020944.

Almost surely, 22122420224 is an apocalyptic number.

2122420224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865015216).

2122420224 is an abundant number, since it is smaller than the sum of its proper divisors (3607610208).

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

2122420224 is an equidigital number, since it uses as much as digits as its factorization.

2122420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2122420224 is about 46069.7321893670. The cubic root of 2122420224 is about 1285.1203234339.

Adding to 2122420224 its reverse (4220242212), we get a palindrome (6342662436).

The spelling of 2122420224 in words is "two billion, one hundred twenty-two million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1328 1536 1992 2048 2081 2656 3072 3984 4096 4162 5312 6144 6243 7968 8324 10624 12288 12486 15936 16648 21248 24972 31872 33296 42496 49944 63744 66592 84992 99888 127488 133184 169984 172723 199776 254976 266368 339968 345446 399552 509952 518169 532736 690892 799104 1019904 1036338 1065472 1381784 1598208 2072676 2130944 2763568 3196416 4145352 4261888 5527136 6392832 8290704 8523776 11054272 12785664 16581408 22108544 25571328 33162816 44217088 66325632 88434176 132651264 176868352 265302528 353736704 530605056 707473408 1061210112 2122420224