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10221223140 = 2234517371141
BaseRepresentation
bin10011000010011101…
…10111110011100100
3222101100000221020000
421201032313303210
5131413113120030
64410124141300
7511201651242
oct114116676344
928340027200
1010221223140
114375683257
121b93097830
13c6b79583b
146cd6ab792
153ec50a860
hex2613b7ce4

10221223140 has 120 divisors (see below), whose sum is σ = 33950585592. Its totient is φ = 2565319680.

The previous prime is 10221223121. The next prime is 10221223141. The reversal of 10221223140 is 4132212201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 129413376 + 10091809764 = 11376^2 + 100458^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10221223141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158031 + ... + 213110.

Almost surely, 210221223140 is an apocalyptic number.

10221223140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221223140 is an abundant number, since it is smaller than the sum of its proper divisors (23729362452).

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

10221223140 is a wasteful number, since it uses less digits than its factorization.

10221223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371179 (or 371168 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221223140 its reverse (4132212201), we get a palindrome (14353435341).

The spelling of 10221223140 in words is "ten billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 13770 27540 371141 742282 1113423 1484564 1855705 2226846 3340269 3711410 4453692 5567115 6309397 6680538 7422820 10020807 11134230 12618794 13361076 16701345 18928191 20041614 22268460 25237588 30062421 31546985 33402690 37856382 40083228 50104035 56784573 60124842 63093970 66805380 75712764 94640955 100208070 113569146 120249684 126187940 150312105 170353719 189281910 200416140 227138292 283922865 300624210 340707438 378563820 511061157 567845730 601248420 681414876 851768595 1022122314 1135691460 1703537190 2044244628 2555305785 3407074380 5110611570 10221223140