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22113511420 = 22571113284967
BaseRepresentation
bin10100100110000100…
…010110011111111100
32010002010110202212111
4110212010112133330
5330242024331140
614054145143404
71411664513530
oct244604263774
963063422774
1022113511420
119418556480
12435192ab64
132115516700
1410dac8bbc0
158965a17ea
hex5261167fc

22113511420 has 144 divisors (see below), whose sum is σ = 62694148608. Its totient is φ = 6362254080.

The previous prime is 22113511369. The next prime is 22113511423. The reversal of 22113511420 is 2411531122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22113511391 and 22113511400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113511423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217777 + ... + 302743.

It is an arithmetic number, because the mean of its divisors is an integer number (435376032).

Almost surely, 222113511420 is an apocalyptic number.

22113511420 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 22113511420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31347074304).

22113511420 is an abundant number, since it is smaller than the sum of its proper divisors (40580637188).

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

22113511420 is a wasteful number, since it uses less digits than its factorization.

22113511420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85020 (or 85005 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 22113511420 in words is "twenty-two billion, one hundred thirteen million, five hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 845 910 1001 1183 1430 1540 1690 1820 1859 2002 2366 2860 3380 3718 4004 4732 5005 5915 7436 9295 10010 11830 13013 18590 20020 23660 26026 37180 52052 65065 84967 130130 169934 260260 339868 424835 594769 849670 934637 1104571 1189538 1699340 1869274 2209142 2379076 2973845 3738548 4418284 4673185 5522855 5947690 6542459 7731997 9346370 11045710 11895380 12150281 13084918 14359423 15463994 18692740 22091420 24300562 26169836 28718846 30927988 32712295 38659985 48601124 57437692 60751405 65424590 71797115 77319970 85051967 100515961 121502810 130849180 143594230 154639940 157953653 170103934 201031922 243005620 287188460 315907306 340207868 402063844 425259835 502579805 631814612 789768265 850519670 1005159610 1105675571 1579536530 1701039340 2010319220 2211351142 3159073060 4422702284 5528377855 11056755710 22113511420