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222002121112020 = 223257319188456223
BaseRepresentation
bin110010011110100011100101…
…100100010111100111010100
31002010001012021112012001212200
4302132203211210113213110
5213044240321001041040
62104054211055244500
764522060342111524
oct6236434544274724
91063035245161780
10222002121112020
116481163086a007
1220a955b9219730
1396b49303a7442
143cb6d62315684
151a9ebb823a630
hexc9e8e59179d4

222002121112020 has 144 divisors (see below), whose sum is σ = 686205172703232. Its totient is φ = 58083893614080.

The previous prime is 222002121111977. The next prime is 222002121112049. The reversal of 222002121112020 is 20211121200222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222002121111984 and 222002121112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41718372 + ... + 46737851.

It is an arithmetic number, because the mean of its divisors is an integer number (4765313699328).

Almost surely, 2222002121112020 is an apocalyptic number.

222002121112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222002121112020 is an abundant number, since it is smaller than the sum of its proper divisors (464203051591212).

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

222002121112020 is a wasteful number, since it uses less digits than its factorization.

222002121112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88456502 (or 88456497 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222002121112020 its reverse (20211121200222), we get a palindrome (242213242312242).

The spelling of 222002121112020 in words is "two hundred twenty-two trillion, two billion, one hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 191 219 292 365 382 438 573 657 730 764 876 955 1095 1146 1314 1460 1719 1910 2190 2292 2628 2865 3285 3438 3820 4380 5730 6570 6876 8595 11460 13140 13943 17190 27886 34380 41829 55772 69715 83658 125487 139430 167316 209145 250974 278860 418290 501948 627435 836580 1254870 2509740 88456223 176912446 265368669 353824892 442281115 530737338 796106007 884562230 1061474676 1326843345 1592212014 1769124460 2653686690 3184424028 3980530035 5307373380 6457304279 7961060070 12914608558 15922120140 16895138593 19371912837 25829217116 32286521395 33790277186 38743825674 50685415779 58115738511 64573042790 67580554372 77487651348 84475692965 96859564185 101370831558 116231477022 129146085580 152056247337 168951385930 193719128370 202741663116 232462954044 253427078895 290578692555 304112494674 337902771860 387438256740 506854157790 581157385110 608224989348 760281236685 1013708315580 1162314770220 1233345117289 1520562473370 2466690234578 3041124946740 3700035351867 4933380469156 6166725586445 7400070703734 11100106055601 12333451172890 14800141407468 18500176759335 22200212111202 24666902345780 37000353518670 44400424222404 55500530278005 74000707037340 111001060556010 222002121112020