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2442221222000 = 24537712456963
BaseRepresentation
bin100011100010011111101…
…110100111100001110000
322122110210121002112012212
4203202133232213201300
5310003132113101000
65105535124311252
7341305342604540
oct43423756474160
98573717075185
102442221222000
1186181623618a
1233539ab42528
131493ba1a6cc1
14862c0223320
15437db3bcc35
hex2389fba7870

2442221222000 has 160 divisors (see below), whose sum is σ = 6843961672704. Its totient is φ = 825539232000.

The previous prime is 2442221221981. The next prime is 2442221222003. The reversal of 2442221222000 is 2221222442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442221222003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234482 + ... + 2222481.

Almost surely, 22442221222000 is an apocalyptic number.

2442221222000 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 2442221222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421980836352).

2442221222000 is an abundant number, since it is smaller than the sum of its proper divisors (4401740450704).

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

2442221222000 is a wasteful number, since it uses less digits than its factorization.

2442221222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457064 (or 2457048 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 2442221222000 its reverse (2221222442), we get a palindrome (2444442444442).

The spelling of 2442221222000 in words is "two trillion, four hundred forty-two billion, two hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 125 140 142 175 200 250 280 284 350 355 400 497 500 560 568 700 710 875 994 1000 1136 1400 1420 1750 1775 1988 2000 2485 2800 2840 3500 3550 3976 4970 5680 7000 7100 7952 8875 9940 12425 14000 14200 17750 19880 24850 28400 35500 39760 49700 62125 71000 99400 124250 142000 198800 248500 497000 994000 2456963 4913926 9827852 12284815 17198741 19655704 24569630 34397482 39311408 49139260 61424075 68794964 85993705 98278520 122848150 137589928 171987410 174444373 196557040 245696300 275179856 307120375 343974820 348888746 429968525 491392600 614240750 687949640 697777492 859937050 872221865 982785200 1221110611 1228481500 1375899280 1395554984 1719874100 1744443730 2149842625 2442221222 2456963000 2791109968 3439748200 3488887460 4299685250 4361109325 4884442444 4913926000 6105553055 6879496400 6977774920 8599370500 8722218650 9768884888 12211106110 13955549840 17198741000 17444437300 19537769776 21805546625 24422212220 30527765275 34397482000 34888874600 43611093250 48844424440 61055530550 69777749200 87222186500 97688848880 122111061100 152638826375 174444373000 244222122200 305277652750 348888746000 488444244400 610555305500 1221110611000 2442221222000