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106224065622 = 232311011884809
BaseRepresentation
bin110001011101101110…
…0101001110001010110
3101011011221022122011200
41202323130221301112
53220021330044442
6120444302213330
710450221442263
oct1427334516126
9334157278150
10106224065622
114105a796794
1218706284246
13a02b13a5cc
1451d991826a
152b6a88234c
hex18bb729c56

106224065622 has 48 divisors (see below), whose sum is σ = 239928773760. Its totient is φ = 33926544000.

The previous prime is 106224065587. The next prime is 106224065659. The reversal of 106224065622 is 226560422601.

106224065622 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 24 + 0 + 6 + 5 + 622 = 666.

It is a super-2 number, since 2×1062240656222 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886047 + ... + 998762.

It is an arithmetic number, because the mean of its divisors is an integer number (4998516120).

Almost surely, 2106224065622 is an apocalyptic number.

106224065622 is an abundant number, since it is smaller than the sum of its proper divisors (133704708138).

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

106224065622 is a wasteful number, since it uses less digits than its factorization.

106224065622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884949 (or 1884946 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106224065622 in words is "one hundred six billion, two hundred twenty-four million, sixty-five thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 101 186 202 279 303 558 606 909 1818 3131 6262 9393 18786 28179 56358 1884809 3769618 5654427 11308854 16963281 33926562 58429079 116858158 175287237 190365709 350574474 380731418 525861711 571097127 1051723422 1142194254 1713291381 3426582762 5901336979 11802673958 17704010937 35408021874 53112032811 106224065622