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22242024222 = 2311317173947
BaseRepresentation
bin10100101101101110…
…100101101100011110
32010102002021220021220
4110231232211230132
5331022424233342
614115015434210
71415115041445
oct245556455436
963362256256
1022242024222
119484052000
124388985966
1321360312a2
14110dd81d5c
158a29d95ec
hex52dba5b1e

22242024222 has 128 divisors (see below), whose sum is σ = 52161781248. Its totient is φ = 6300208640.

The previous prime is 22242024221. The next prime is 22242024251.

22242024222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22242024192 and 22242024201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22242024221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23486353 + ... + 23487299.

It is an arithmetic number, because the mean of its divisors is an integer number (407513916).

Almost surely, 222242024222 is an apocalyptic number.

22242024222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242024222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26080890624).

22242024222 is an abundant number, since it is smaller than the sum of its proper divisors (29919757026).

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

22242024222 is a wasteful number, since it uses less digits than its factorization.

22242024222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 222420 and 24222, that added together give a palindrome (246642).

The spelling of 22242024222 in words is "twenty-two billion, two hundred forty-two million, twenty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 173 187 242 346 363 374 519 561 726 947 1038 1122 1331 1894 1903 2057 2662 2841 2941 3806 3993 4114 5682 5709 5882 6171 7986 8823 10417 11418 12342 16099 17646 20834 20933 22627 31251 32198 32351 41866 45254 48297 62502 62799 64702 67881 96594 97053 114587 125598 135762 163831 177089 194106 229174 230263 327662 343761 354178 355861 460526 491493 531267 687522 690789 711722 982986 1062534 1067583 1260457 1381578 1802141 1947979 2135166 2520914 2785127 3604282 3781371 3895958 3914471 5406423 5570254 5843937 7562742 7828942 8355381 10812846 11687874 11743413 16710762 19823551 21427769 23486826 30636397 39647102 42855538 59470653 61272794 64283307 91909191 118941306 128566614 183818382 218059061 337000367 436118122 654177183 674000734 1011001101 1308354366 2022002202 3707004037 7414008074 11121012111 22242024222