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2199345062004 = 22322373197184703
BaseRepresentation
bin100000000000010011001…
…011100110000001110100
321210020220010202020102200
4200000103023212001310
5242013224313441004
64402210513304500
7314616551400606
oct40002313460164
97706803666380
102199345062004
11778811a50412
122b62b8265130
1312c521c90a6c
147863d9a7176
153c323bd1239
hex200132e6074

2199345062004 has 144 divisors (see below), whose sum is σ = 5910522089472. Its totient is φ = 688119860736.

The previous prime is 2199345061999. The next prime is 2199345062009. The reversal of 2199345062004 is 4002605439912.

2199345062004 is a `hidden beast` number, since 2 + 1 + 99 + 34 + 506 + 20 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2199345061999) and next prime (2199345062009).

It is a super-2 number, since 2×21993450620042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199345062009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11815117 + ... + 11999819.

It is an arithmetic number, because the mean of its divisors is an integer number (41045292288).

Almost surely, 22199345062004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199345062004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955261044736).

2199345062004 is an abundant number, since it is smaller than the sum of its proper divisors (3711177027468).

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

2199345062004 is a wasteful number, since it uses less digits than its factorization.

2199345062004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185006 (or 185001 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2199345062004 in words is "two trillion, one hundred ninety-nine billion, three hundred forty-five million, sixty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 73 92 138 146 197 207 219 276 292 394 414 438 591 657 788 828 876 1182 1314 1679 1773 2364 2628 3358 3546 4531 5037 6716 7092 9062 10074 13593 14381 15111 18124 20148 27186 28762 30222 40779 43143 54372 57524 60444 81558 86286 129429 163116 172572 184703 258858 330763 369406 517716 554109 661526 738812 992289 1108218 1323052 1662327 1984578 2216436 2976867 3324654 3969156 4248169 5953734 6649308 8496338 11907468 12744507 13483319 16992676 25489014 26966638 36386491 38233521 40449957 50978028 53933276 72772982 76467042 80899914 109159473 121349871 145545964 152934084 161799828 218318946 242699742 310116337 327478419 436637892 485399484 620232674 654956838 836889293 930349011 1240465348 1309913676 1673778586 1860698022 2510667879 2656213843 2791047033 3347557172 3721396044 5021335758 5312427686 5582094066 7532003637 7968641529 10042671516 10624855372 11164188132 15064007274 15937283058 23905924587 30128014548 31874566116 47811849174 61092918389 95623698348 122185836778 183278755167 244371673556 366557510334 549836265501 733115020668 1099672531002 2199345062004