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2210223302320 = 245112938572073
BaseRepresentation
bin100000001010011011100…
…100110010011010110000
321211021222021002002210011
4200022123210302122300
5242203014131133240
64411210151544304
7315453252043135
oct40123344623260
97737867062704
102210223302320
11782394485370
122b843338b094
131305668c6557
1478d9262058c
153c75dc1d6ea
hex2029b9326b0

2210223302320 has 80 divisors (see below), whose sum is σ = 5625063535392. Its totient is φ = 800974407680.

The previous prime is 2210223302297. The next prime is 2210223302341. The reversal of 2210223302320 is 232033220122.

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

It is a super-2 number, since 2×22102233023202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2210223302291 and 2210223302300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4028197 + ... + 4543876.

Almost surely, 22210223302320 is an apocalyptic number.

2210223302320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210223302320 is an abundant number, since it is smaller than the sum of its proper divisors (3414840233072).

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

2210223302320 is a wasteful number, since it uses less digits than its factorization.

2210223302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572390 (or 8572384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2210223302320 its reverse (232033220122), we get a palindrome (2442256522442).

The spelling of 2210223302320 in words is "two trillion, two hundred ten billion, two hundred twenty-three million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 293 440 586 880 1172 1465 2344 2930 3223 4688 5860 6446 11720 12892 16115 23440 25784 32230 51568 64460 128920 257840 8572073 17144146 34288292 42860365 68576584 85720730 94292803 137153168 171441460 188585606 342882920 377171212 471464015 685765840 754342424 942928030 1508684848 1885856060 2511617389 3771712120 5023234778 7543424240 10046469556 12558086945 20092939112 25116173890 27627791279 40185878224 50232347780 55255582558 100464695560 110511165116 138138956395 200929391120 221022330232 276277912790 442044660464 552555825580 1105111651160 2210223302320