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31422230240 = 2551516412029
BaseRepresentation
bin11101010000111010…
…010010111011100000
310000002212110200111012
4131100322102323200
51003323042331430
622233555240052
72161446356462
oct352072227340
9100085420435
1031422230240
1112365036725
12610b2a9028
132c69c2815b
1417412a6132
15c3d910695
hex750e92ee0

31422230240 has 96 divisors (see below), whose sum is σ = 74880106560. Its totient is φ = 12460032000.

The previous prime is 31422230227. The next prime is 31422230251. The reversal of 31422230240 is 4203222413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15485546 + ... + 15487574.

It is an arithmetic number, because the mean of its divisors is an integer number (780001110).

Almost surely, 231422230240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31422230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440053280).

31422230240 is an abundant number, since it is smaller than the sum of its proper divisors (43457876320).

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

31422230240 is a wasteful number, since it uses less digits than its factorization.

31422230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 31422230240 its reverse (4203222413), we get a palindrome (35625452653).

The spelling of 31422230240 in words is "thirty-one billion, four hundred twenty-two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 641 755 1208 1282 1510 2029 2416 2564 3020 3205 4058 4832 5128 6040 6410 8116 10145 10256 12080 12820 16232 20290 20512 24160 25640 32464 40580 51280 64928 81160 96791 102560 162320 193582 306379 324640 387164 483955 612758 774328 967910 1225516 1300589 1531895 1548656 1935820 2451032 2601178 3063790 3097312 3871640 4902064 5202356 6127580 6502945 7743280 9804128 10404712 12255160 13005890 15486560 20809424 24510320 26011780 41618848 49020640 52023560 104047120 196388939 208094240 392777878 785555756 981944695 1571111512 1963889390 3142223024 3927778780 6284446048 7855557560 15711115120 31422230240