Search a number
-
+
10220026410 = 23251137279007
BaseRepresentation
bin10011000010010100…
…10011101000101010
3222101020210010121200
421201022103220222
5131412311321120
64410042345030
7511155535236
oct114112235052
928336703550
1010220026410
114374a36120
121b927bb176
13c6b466c09
146cd4795c6
153ec370e90
hex261293a2a

10220026410 has 96 divisors (see below), whose sum is σ = 29771269632. Its totient is φ = 2410611840.

The previous prime is 10220026403. The next prime is 10220026501. The reversal of 10220026410 is 1462002201.

10220026410 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 0 + 2 + 641 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102874 + ... + 176133.

It is an arithmetic number, because the mean of its divisors is an integer number (310117392).

Almost surely, 210220026410 is an apocalyptic number.

10220026410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220026410 is an abundant number, since it is smaller than the sum of its proper divisors (19551243222).

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

10220026410 is a wasteful number, since it uses less digits than its factorization.

10220026410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279068 (or 279065 counting only the distinct ones).

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

Adding to 10220026410 its reverse (1462002201), we get a palindrome (11682028611).

The spelling of 10220026410 in words is "ten billion, two hundred twenty million, twenty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 279007 558014 837021 1395035 1674042 2511063 2790070 3069077 4185105 5022126 6138154 8370210 9207231 10323259 12555315 15345385 18414462 20646518 25110630 27621693 30690770 30969777 46036155 51616295 55243386 61939554 92072310 92909331 103232590 113555849 138108465 154848885 185818662 227111698 276216930 309697770 340667547 464546655 567779245 681335094 929093310 1022002641 1135558490 1703337735 2044005282 3406675470 5110013205 10220026410