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2230125141020 = 2257237163737571
BaseRepresentation
bin100000011100111101110…
…100010001110000011100
321220012100020220021001012
4200130331310101300130
5243014244014003040
64424301053234352
7320056402633400
oct40347564216034
97805306807035
102230125141020
1178a877559347
123002684929b8
131323b8b5257a
1479d1d873100
153d026049865
hex2073dd11c1c

2230125141020 has 144 divisors (see below), whose sum is σ = 5598683973792. Its totient is φ = 743474833920.

The previous prime is 2230125141017. The next prime is 2230125141029. The reversal of 2230125141020 is 201415210322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230125141029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59338835 + ... + 59376405.

It is an arithmetic number, because the mean of its divisors is an integer number (38879749818).

Almost surely, 22230125141020 is an apocalyptic number.

2230125141020 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 2230125141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799341986896).

2230125141020 is an abundant number, since it is smaller than the sum of its proper divisors (3368558832772).

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

2230125141020 is a wasteful number, since it uses less digits than its factorization.

2230125141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39268 (or 39259 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 2230125141020 in words is "two trillion, two hundred thirty billion, one hundred twenty-five million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1637 1813 2590 3274 3626 5180 6548 7252 8185 9065 11459 16370 18130 22918 32740 36260 37571 45836 57295 60569 75142 80213 114590 121138 150284 160426 187855 229180 242276 262997 302845 320852 375710 401065 423983 525994 605690 751420 802130 847966 1051988 1211380 1314985 1390127 1604260 1695932 1840979 2119915 2629970 2780254 2967881 3681958 4239830 5259940 5560508 5935762 6950635 7363916 8479660 9204895 9730889 11871524 13901270 14839405 18409790 19461778 27802540 29678810 36819580 38923556 48654445 59357620 61503727 68116223 97308890 123007454 136232446 194617780 246014908 272464892 307518635 340581115 430526089 615037270 681162230 861052178 1230074540 1362324460 1722104356 2152630445 2275637899 3013682623 4305260890 4551275798 6027365246 8610521780 9102551596 11378189495 12054730492 15068413115 15929465293 22756378990 30136826230 31858930586 45512757980 60273652460 63717861172 79647326465 111506257051 159294652930 223012514102 318589305860 446025028204 557531285255 1115062570510 2230125141020