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22212000021222 = 23211235147716639
BaseRepresentation
bin1010000110011101000100…
…10111101111101011100110
32220122110001110202021120200
411003032202113233223212
510402410134001134342
6115124015115211330
74451523031666404
oct503164227575346
986573043667520
1022212000021222
117094068a45630
1225a8a01a46b46
13c5177600863b
1456b0d0814474
15287bb9a5e94c
hex1433a25efae6

22212000021222 has 48 divisors (see below), whose sum is σ = 52523423447040. Its totient is φ = 6728045958000.

The previous prime is 22212000021199. The next prime is 22212000021223.

22212000021222 is a `hidden beast` number, since 2 + 221 + 200 + 0 + 0 + 21 + 222 = 666.

22212000021222 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×222120000212222 (a number of 27 digits) contains 22 as substring.

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 = 22212000021195 and 22212000021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212000021223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23392822 + ... + 24323817.

It is an arithmetic number, because the mean of its divisors is an integer number (1094237988480).

Almost surely, 222212000021222 is an apocalyptic number.

22212000021222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22212000021222 is an abundant number, since it is smaller than the sum of its proper divisors (30311423425818).

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

22212000021222 is a wasteful number, since it uses less digits than its factorization.

22212000021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47719009 (or 47719006 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 222120000 and 21222, that added together give a palindrome (222141222).

The spelling of 22212000021222 in words is "twenty-two trillion, two hundred twelve billion, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2351 4702 7053 14106 21159 25861 42318 51722 77583 155166 232749 465498 47716639 95433278 143149917 286299834 429449751 524883029 858899502 1049766058 1574649087 3149298174 4723947261 9447894522 112181818289 224363636578 336545454867 673090909734 1009636364601 1234000001179 2019272729202 2468000002358 3702000003537 7404000007074 11106000010611 22212000021222