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26100228 = 22371147601
BaseRepresentation
bin110001110010…
…0001000000100
31211010000210010
41203210020010
523140201403
62331230220
7434563650
oct143441004
954100703
1026100228
1113807540
1288a8370
13553ac2b
143675a60
152458603
hex18e4204

26100228 has 96 divisors (see below), whose sum is σ = 77672448. Its totient is φ = 6624000.

The previous prime is 26100223. The next prime is 26100247. The reversal of 26100228 is 82200162.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (26100223) 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, 43128 + ... + 43728.

It is an arithmetic number, because the mean of its divisors is an integer number (809088).

Almost surely, 226100228 is an apocalyptic number.

26100228 is a gapful number since it is divisible by the number (28) 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 26100228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38836224).

26100228 is an abundant number, since it is smaller than the sum of its proper divisors (51572220).

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

26100228 is a wasteful number, since it uses less digits than its factorization.

26100228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 26100228 is about 5108.8382240975. The cubic root of 26100228 is about 296.6297918791.

The spelling of 26100228 in words is "twenty-six million, one hundred thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 66 77 84 94 132 141 154 188 231 282 308 329 462 517 564 601 658 924 987 1034 1202 1316 1551 1803 1974 2068 2404 3102 3606 3619 3948 4207 6204 6611 7212 7238 8414 10857 12621 13222 14476 16828 19833 21714 25242 26444 28247 39666 43428 46277 50484 56494 79332 84741 92554 112988 138831 169482 185108 197729 277662 310717 338964 395458 555324 593187 621434 790916 932151 1186374 1242868 1864302 2175019 2372748 3728604 4350038 6525057 8700076 13050114 26100228