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10222013011224 = 2337769357122157
BaseRepresentation
bin1001010010111111111101…
…1101000101010100011000
31100012012210122212202211210
42110233333131011110120
52314434140312324344
633423532234223120
72103342003660510
oct224577735052430
940165718782753
1010222013011224
113291149948383
121191117584aa0
13591c15c03a11
14274a689ba840
1512ad70c15db9
hex94bff745518

10222013011224 has 128 divisors (see below), whose sum is σ = 29253239769600. Its totient is φ = 2915828858880.

The previous prime is 10222013011157. The next prime is 10222013011307. The reversal of 10222013011224 is 42211031022201.

It is a happy number.

It is a super-3 number, since 3×102220130112243 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10222013011224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461333554 + ... + 461355710.

It is an arithmetic number, because the mean of its divisors is an integer number (228540935700).

Almost surely, 210222013011224 is an apocalyptic number.

10222013011224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10222013011224 is an abundant number, since it is smaller than the sum of its proper divisors (19031226758376).

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

10222013011224 is a wasteful number, since it uses less digits than its factorization.

10222013011224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26513 (or 26509 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10222013011224 its reverse (42211031022201), we get a palindrome (52433044033425).

The spelling of 10222013011224 in words is "ten trillion, two hundred twenty-two billion, thirteen million, eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 769 1538 2307 3076 3571 4614 5383 6152 7142 9228 10713 10766 14284 16149 18456 21426 21532 22157 24997 28568 32298 42852 43064 44314 49994 64596 66471 74991 85704 88628 99988 129192 132942 149982 155099 177256 199976 265884 299964 310198 465297 531768 599928 620396 930594 1240792 1861188 2746099 3722376 5492198 8238297 10984396 16476594 17038733 19222693 21968792 32953188 34077466 38445386 51116199 57668079 65906376 68154932 76890772 79122647 102232398 115336158 119271131 136309864 153781544 158245294 204464796 230672316 237367941 238542262 316490588 357813393 408929592 461344632 474735882 477084524 553858529 632981176 715626786 949471764 954169048 1107717058 1431253572 1661575587 1898943528 2215434116 2862507144 3323151174 4430868232 6646302348 13292604696 60845315543 121690631086 182535946629 243381262172 365071893258 425917208801 486762524344 730143786516 851834417602 1277751626403 1460287573032 1703668835204 2555503252806 3407337670408 5111006505612 10222013011224