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2334232223240 = 235734191907863
BaseRepresentation
bin100001111101111011000…
…101010001111000001000
322021011001122201222221012
4201331323011101320020
5301221001422120430
64544155333303052
7330433310345501
oct41757305217010
98234048658835
102334232223240
1181aa40267075
12318481794a88
1313c16a506978
1480d9815dba8
1540abab0c695
hex21f7b151e08

2334232223240 has 64 divisors (see below), whose sum is σ = 5336677180800. Its totient is φ = 918704236032.

The previous prime is 2334232223227. The next prime is 2334232223299. The reversal of 2334232223240 is 423222324332.

It is a junction number, because it is equal to n+sod(n) for n = 2334232223197 and 2334232223206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269549 + ... + 2177411.

It is an arithmetic number, because the mean of its divisors is an integer number (83385580950).

Almost surely, 22334232223240 is an apocalyptic number.

2334232223240 is a gapful number since it is divisible by the number (20) 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 2334232223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668338590400).

2334232223240 is an abundant number, since it is smaller than the sum of its proper divisors (3002444957560).

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

2334232223240 is a wasteful number, since it uses less digits than its factorization.

2334232223240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908366 (or 1908362 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 2334232223240 its reverse (423222324332), we get a palindrome (2757454547572).

The spelling of 2334232223240 in words is "two trillion, three hundred thirty-four billion, two hundred thirty-two million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 419 584 730 838 1460 1676 2095 2920 3352 4190 8380 16760 30587 61174 122348 152935 244696 305870 611740 1223480 1907863 3815726 7631452 9539315 15262904 19078630 38157260 76314520 139273999 278547998 557095996 696369995 799394597 1114191992 1392739990 1598789194 2785479980 3197578388 3996972985 5570959960 6395156776 7993945970 15987891940 31975783880 58355805581 116711611162 233423222324 291779027905 466846444648 583558055810 1167116111620 2334232223240