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10226409900 = 22352719256301
BaseRepresentation
bin10011000011000101…
…01010000110101100
3222101200210110010020
421201202222012230
5131420430104100
64410431242140
7511264023060
oct114142520654
928350713106
1010226409900
1143785a6133
121b94979350
13c6c890625
146d025baa0
153ecbd25a0
hex2618aa1ac

10226409900 has 144 divisors (see below), whose sum is σ = 35595221760. Its totient is φ = 2214432000.

The previous prime is 10226409887. The next prime is 10226409901. The reversal of 10226409900 is 990462201.

It is not an unprimeable number, because it can be changed into a prime (10226409901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88251 + ... + 168050.

It is an arithmetic number, because the mean of its divisors is an integer number (247189040).

Almost surely, 210226409900 is an apocalyptic number.

10226409900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10226409900 is an abundant number, since it is smaller than the sum of its proper divisors (25368811860).

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

10226409900 is a wasteful number, since it uses less digits than its factorization.

10226409900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256344 (or 256337 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 10226409900 in words is "ten billion, two hundred twenty-six million, four hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 256301 512602 768903 1025204 1281505 1537806 1794107 2563010 3075612 3588214 3844515 4869719 5126020 5382321 6407525 7176428 7689030 8970535 9739438 10764642 12815050 14609157 15378060 17941070 19222575 19478876 21529284 24348595 25630100 26911605 29218314 34088033 35882140 38445150 44852675 48697190 53823210 58436628 68176066 73045785 76890300 89705350 97394380 102264099 107646420 121742975 134558025 136352132 146091570 170440165 179410700 204528198 243485950 269116050 292183140 340880330 365228925 409056396 486971900 511320495 538232100 681760660 730457850 852200825 1022640990 1460915700 1704401650 2045281980 2556602475 3408803300 5113204950 10226409900