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22061126640 = 2435713131623
BaseRepresentation
bin10100100010111100…
…100001001111110000
32002221110220100110110
4110202330201033300
5330140122023030
614045034301320
71410460324320
oct244274411760
962843810413
1022061126640
1193a0a26a73
124338287840
1321077049b7
1410d3d33280
15891ba51b0
hex522f213f0

22061126640 has 80 divisors (see below), whose sum is σ = 78159426048. Its totient is φ = 5042542848.

The previous prime is 22061126629. The next prime is 22061126653. The reversal of 22061126640 is 4662116022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×220611266402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22061126598 and 22061126607.

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, 6564132 + ... + 6567491.

Almost surely, 222061126640 is an apocalyptic number.

22061126640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22061126640 is an abundant number, since it is smaller than the sum of its proper divisors (56098299408).

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

22061126640 is a wasteful number, since it uses less digits than its factorization.

22061126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131646 (or 13131640 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 22061126640 in words is "twenty-two billion, sixty-one million, one hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 13131623 26263246 39394869 52526492 65658115 78789738 91921361 105052984 131316230 157579476 183842722 196974345 210105968 262632460 275764083 315158952 367685444 393948690 459606805 525264920 551528166 630317904 735370888 787897380 919213610 1050529840 1103056332 1378820415 1470741776 1575794760 1838427220 2206112664 2757640830 3151589520 3676854440 4412225328 5515281660 7353708880 11030563320 22061126640