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10222430240 = 2551150911411
BaseRepresentation
bin10011000010100110…
…11110100000100000
3222101102022021001102
421201103132200200
5131413420231430
64410210053532
7511215136421
oct114123364040
928342267042
1010222430240
114376328160
121b9357a2a8
13c6bac90b9
146cd903648
153ec698345
hex2614de820

10222430240 has 96 divisors (see below), whose sum is σ = 26400064320. Its totient is φ = 3709619200.

The previous prime is 10222430237. The next prime is 10222430303. The reversal of 10222430240 is 4203422201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890135 + ... + 901545.

It is an arithmetic number, because the mean of its divisors is an integer number (275000670).

Almost surely, 210222430240 is an apocalyptic number.

10222430240 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 10222430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13200032160).

10222430240 is an abundant number, since it is smaller than the sum of its proper divisors (16177634080).

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

10222430240 is a wasteful number, since it uses less digits than its factorization.

10222430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10222430240 its reverse (4203422201), we get a palindrome (14425852441).

The spelling of 10222430240 in words is "ten billion, two hundred twenty-two million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 509 880 1018 1760 2036 2545 4072 5090 5599 8144 10180 11198 11411 16288 20360 22396 22822 27995 40720 44792 45644 55990 57055 81440 89584 91288 111980 114110 125521 179168 182576 223960 228220 251042 365152 447920 456440 502084 627605 895840 912880 1004168 1255210 1825760 2008336 2510420 4016672 5020840 5808199 10041680 11616398 20083360 23232796 29040995 46465592 58081990 63890189 92931184 116163980 127780378 185862368 232327960 255560756 319450945 464655920 511121512 638901890 929311840 1022243024 1277803780 2044486048 2555607560 5111215120 10222430240