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220010222000 = 2453657116741
BaseRepresentation
bin1100110011100110100…
…0011001000110110000
3210000212220001021200202
43030321220121012300
512101040104101000
6245023222334332
721616026013442
oct3147150310660
9700786037622
10220010222000
1185340042158
1236780b8a3a8
1317992b6571a
14a9118a8492
155aca05ddd5
hex3339a191b0

220010222000 has 80 divisors (see below), whose sum is σ = 532097458464. Its totient is φ = 87985440000.

The previous prime is 220010221997. The next prime is 220010222009. The reversal of 220010222000 is 222010022.

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

It is not an unprimeable number, because it can be changed into a prime (220010222009) by changing a digit.

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, 13133630 + ... + 13150370.

Almost surely, 2220010222000 is an apocalyptic number.

220010222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010222000 is an abundant number, since it is smaller than the sum of its proper divisors (312087236464).

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

220010222000 is a wasteful number, since it uses less digits than its factorization.

220010222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23335 (or 23319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220010222000 its reverse (222010022), we get a palindrome (220232232022).

The spelling of 220010222000 in words is "two hundred twenty billion, ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6571 13142 16741 26284 32855 33482 52568 65710 66964 83705 105136 131420 133928 164275 167410 262840 267856 328550 334820 418525 525680 657100 669640 821375 837050 1314200 1339280 1642750 1674100 2092625 2628400 3285500 3348200 4185250 6571000 6696400 8370500 13142000 16741000 33482000 110005111 220010222 440020444 550025555 880040888 1100051110 1760081776 2200102220 2750127775 4400204440 5500255550 8800408880 11000511100 13750638875 22001022200 27501277750 44002044400 55002555500 110005111000 220010222000