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10344332220 = 22357122310889
BaseRepresentation
bin10011010001001000…
…11111101110111100
3222200220200112010120
421220210133232330
5132141122112340
64430242534540
7514225241655
oct115044375674
928626615116
1010344332220
1144291189a2
122008367450
13c8b13a951
14701b9652c
154082274d0
hex26891fbbc

10344332220 has 96 divisors (see below), whose sum is σ = 29506498560. Its totient is φ = 2707192320.

The previous prime is 10344332209. The next prime is 10344332221. The reversal of 10344332220 is 2223344301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344332221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944536 + ... + 955424.

It is an arithmetic number, because the mean of its divisors is an integer number (307359360).

Almost surely, 210344332220 is an apocalyptic number.

10344332220 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 10344332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753249280).

10344332220 is an abundant number, since it is smaller than the sum of its proper divisors (19162166340).

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

10344332220 is a wasteful number, since it uses less digits than its factorization.

10344332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195 (or 11193 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10344332220 its reverse (2223344301), we get a palindrome (12567676521).

The spelling of 10344332220 in words is "ten billion, three hundred forty-four million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 223 284 355 426 446 669 710 852 892 1065 1115 1338 1420 2130 2230 2676 3345 4260 4460 6690 10889 13380 15833 21778 31666 32667 43556 47499 54445 63332 65334 79165 94998 108890 130668 158330 163335 189996 217780 237495 316660 326670 474990 653340 773119 949980 1546238 2319357 2428247 3092476 3865595 4638714 4856494 7284741 7731190 9277428 9712988 11596785 12141235 14569482 15462380 23193570 24282470 29138964 36423705 46387140 48564940 72847410 145694820 172405537 344811074 517216611 689622148 862027685 1034433222 1724055370 2068866444 2586083055 3448110740 5172166110 10344332220