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10223134240 = 2551112745737
BaseRepresentation
bin10011000010101100…
…01010011000100000
3222101110122000202111
421201112022120200
5131414110243430
64410233125104
7511224131044
oct114126123040
928343560674
1010223134240
114376769080
121b93859794
13c6bcb4677
146cda48024
153ec786c2a
hex26158a620

10223134240 has 96 divisors (see below), whose sum is σ = 26555848704. Its totient is φ = 3688151040.

The previous prime is 10223134219. The next prime is 10223134241. The reversal of 10223134240 is 4243132201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10223134241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200652 + ... + 246388.

It is an arithmetic number, because the mean of its divisors is an integer number (276623424).

Almost surely, 210223134240 is an apocalyptic number.

10223134240 is a gapful number since it is divisible by the number (10) 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 10223134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277924352).

10223134240 is an abundant number, since it is smaller than the sum of its proper divisors (16332714464).

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

10223134240 is a wasteful number, since it uses less digits than its factorization.

10223134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45890 (or 45882 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10223134240 its reverse (4243132201), we get a palindrome (14466266441).

The spelling of 10223134240 in words is "ten billion, two hundred twenty-three million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 127 160 176 220 254 352 440 508 635 880 1016 1270 1397 1760 2032 2540 2794 4064 5080 5588 6985 10160 11176 13970 20320 22352 27940 44704 45737 55880 91474 111760 182948 223520 228685 365896 457370 503107 731792 914740 1006214 1463584 1829480 2012428 2515535 3658960 4024856 5031070 5808599 7317920 8049712 10062140 11617198 16099424 20124280 23234396 29042995 40248560 46468792 58085990 63894589 80497120 92937584 116171980 127789178 185875168 232343960 255578356 319472945 464687920 511156712 638945890 929375840 1022313424 1277891780 2044626848 2555783560 5111567120 10223134240