Search a number
-
+
10222341440 = 2657126337
BaseRepresentation
bin10011000010100110…
…01000110101000000
3222101102010202020112
421201103020311000
5131413404411230
64410204130452
7511214316503
oct114123106500
928342122215
1010222341440
114376277473
121b93536a28
13c6ba9785c
146cd8bd13a
153ec67bd95
hex2614c8d40

10222341440 has 84 divisors (see below), whose sum is σ = 24693519828. Its totient is φ = 4030709760.

The previous prime is 10222341431. The next prime is 10222341443. The reversal of 10222341440 is 4414322201.

It can be written as a sum of positive squares in 2 ways, for example, as 3625003264 + 6597338176 = 60208^2 + 81224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222341443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1609952 + ... + 1616288.

Almost surely, 210222341440 is an apocalyptic number.

10222341440 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 10222341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346759914).

10222341440 is an abundant number, since it is smaller than the sum of its proper divisors (14471178388).

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

10222341440 is an frugal number, since it uses more digits than its factorization.

10222341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10222341440 its reverse (4414322201), we get a palindrome (14636663641).

The spelling of 10222341440 in words is "ten billion, two hundred twenty-two million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5041 5680 6337 10082 11360 12674 20164 22720 25205 25348 31685 40328 50410 50696 63370 80656 100820 101392 126740 161312 201640 202784 253480 322624 403280 405568 449927 506960 806560 899854 1013920 1613120 1799708 2027840 2249635 3599416 4499270 7198832 8998540 14397664 17997080 28795328 31944817 35994160 63889634 71988320 127779268 143976640 159724085 255558536 319448170 511117072 638896340 1022234144 1277792680 2044468288 2555585360 5111170720 10222341440