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220230142000 = 24531137270553
BaseRepresentation
bin1100110100011010111…
…1010100100000110000
3210001110012212101012221
43031012233110200300
512102012404021000
6245101120130424
721624336214561
oct3150657244060
9701405771187
10220230142000
11854431a0320
1236822766a14
13179c95a58bb
14a932b94168
155ade50061a
hex3346bd4830

220230142000 has 160 divisors (see below), whose sum is σ = 596630009664. Its totient is φ = 77918976000.

The previous prime is 220230141997. The next prime is 220230142003. The reversal of 220230142000 is 241032022.

It is an interprime number because it is at equal distance from previous prime (220230141997) and next prime (220230142003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220230142003) 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 31 ways as a sum of consecutive naturals, for example, 678724 + ... + 949276.

Almost surely, 2220230142000 is an apocalyptic number.

220230142000 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 220230142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298315004832).

220230142000 is an abundant number, since it is smaller than the sum of its proper divisors (376399867664).

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

220230142000 is a wasteful number, since it uses less digits than its factorization.

220230142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270624 (or 270608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 220230142000 its reverse (241032022), we get a palindrome (220471174022).

The spelling of 220230142000 in words is "two hundred twenty billion, two hundred thirty million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 37 40 44 50 55 74 80 88 100 110 125 148 176 185 200 220 250 275 296 370 400 407 440 500 550 592 740 814 880 925 1000 1100 1375 1480 1628 1850 2000 2035 2200 2750 2960 3256 3700 4070 4400 4625 5500 6512 7400 8140 9250 10175 11000 14800 16280 18500 20350 22000 32560 37000 40700 50875 74000 81400 101750 162800 203500 270553 407000 541106 814000 1082212 1352765 2164424 2705530 2976083 4328848 5411060 5952166 6763825 10010461 10822120 11904332 13527650 14880415 20020922 21644240 23808664 27055300 29760830 33819125 40041844 47617328 50052305 54110600 59521660 67638250 74402075 80083688 100104610 108221200 110115071 119043320 135276500 148804150 160167376 200209220 220230142 238086640 250261525 270553000 297608300 372010375 400418440 440460284 500523050 541106000 550575355 595216600 744020750 800836880 880920568 1001046100 1101150710 1190433200 1251307625 1488041500 1761841136 2002092200 2202301420 2502615250 2752876775 2976083000 4004184400 4404602840 5005230500 5505753550 5952166000 8809205680 10010461000 11011507100 13764383875 20020922000 22023014200 27528767750 44046028400 55057535500 110115071000 220230142000