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2200032202000 = 245323411166507
BaseRepresentation
bin100000000000111100001…
…000110100110100010000
321210022200000201120022011
4200000330020310310100
5242021131220431000
64402403021152304
7314642564111323
oct40007410646420
97708600646264
102200032202000
11779034906906
122b646a3bb694
1312c601449889
14786a6d547ba
153c3641b32ba
hex2003c234d10

2200032202000 has 160 divisors (see below), whose sum is σ = 5686362549504. Its totient is φ = 821220224000.

The previous prime is 2200032201967. The next prime is 2200032202001. The reversal of 2200032202000 is 2022300022.

It is not an unprimeable number, because it can be changed into a prime (2200032202001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302747 + ... + 2469253.

Almost surely, 22200032202000 is an apocalyptic number.

2200032202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200032202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843181274752).

2200032202000 is an abundant number, since it is smaller than the sum of its proper divisors (3486330347504).

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

2200032202000 is a wasteful number, since it uses less digits than its factorization.

2200032202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166594 (or 1166578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 2200032202000 its reverse (2022300022), we get a palindrome (2202054502022).

The spelling of 2200032202000 in words is "two trillion, two hundred billion, thirty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 41 46 50 80 82 92 100 115 125 164 184 200 205 230 250 328 368 400 410 460 500 575 656 820 920 943 1000 1025 1150 1640 1840 1886 2000 2050 2300 2875 3280 3772 4100 4600 4715 5125 5750 7544 8200 9200 9430 10250 11500 15088 16400 18860 20500 23000 23575 37720 41000 46000 47150 75440 82000 94300 117875 188600 235750 377200 471500 943000 1166507 1886000 2333014 4666028 5832535 9332056 11665070 18664112 23330140 26829661 29162675 46660280 47826787 53659322 58325350 93320560 95653574 107318644 116650700 134148305 145813375 191307148 214637288 233301400 239133935 268296610 291626750 382614296 429274576 466602800 478267870 536593220 583253500 670741525 765228592 956535740 1073186440 1100016101 1166507000 1195669675 1341483050 1913071480 2146372880 2200032202 2333014000 2391339350 2682966100 3353707625 3826142960 4400064404 4782678700 5365932200 5500080505 5978348375 6707415250 8800128808 9565357400 10731864400 11000161010 11956696750 13414830500 17600257616 19130714800 22000322020 23913393500 26829661000 27500402525 44000644040 47826787000 53659322000 55000805050 88001288080 95653574000 110001610100 137502012625 220003220200 275004025250 440006440400 550008050500 1100016101000 2200032202000