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22122211040 = 2551318631223
BaseRepresentation
bin10100100110100101…
…100010011011100000
32010002201211202111122
4110212211202123200
5330301241223130
614055055431412
71412131456046
oct244645423340
963081752448
1022122211040
119422458646
124354825568
132117271407
1410dc0b4396
1589721e2e5
hex5269626e0

22122211040 has 96 divisors (see below), whose sum is σ = 52766816256. Its totient is φ = 8763988480.

The previous prime is 22122211037. The next prime is 22122211063. The reversal of 22122211040 is 4011222122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18087869 + ... + 18089091.

It is an arithmetic number, because the mean of its divisors is an integer number (549654336).

Almost surely, 222122211040 is an apocalyptic number.

22122211040 is a gapful number since it is divisible by the number (20) 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 22122211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26383408128).

22122211040 is an abundant number, since it is smaller than the sum of its proper divisors (30644605216).

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

22122211040 is a wasteful number, since it uses less digits than its factorization.

22122211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22122211040 its reverse (4011222122), we get a palindrome (26133433162).

The spelling of 22122211040 in words is "twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 863 1048 1223 1310 1726 2096 2446 2620 3452 4192 4315 4892 5240 6115 6904 8630 9784 10480 12230 13808 17260 19568 20960 24460 27616 34520 39136 48920 69040 97840 113053 138080 160213 195680 226106 320426 452212 565265 640852 801065 904424 1055449 1130530 1281704 1602130 1808848 2110898 2261060 2563408 3204260 3617696 4221796 4522120 5126816 5277245 6408520 8443592 9044240 10554490 12817040 16887184 18088480 21108980 25634080 33774368 42217960 84435920 138263819 168871840 276527638 553055276 691319095 1106110552 1382638190 2212221104 2765276380 4424442208 5530552760 11061105520 22122211040