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2325151040 = 26537434567
BaseRepresentation
bin1000101010010110…
…1111110101000000
320000001011220121012
42022211233311000
514230214313130
61022420020052
7111422313002
oct21245576500
96001156535
102325151040
11a9353a433
1254a831628
132b0940024
14180b38372
15d91dd995
hex8a96fd40

2325151040 has 112 divisors (see below), whose sum is σ = 5819924352. Its totient is φ = 883685376.

The previous prime is 2325151039. The next prime is 2325151043. The reversal of 2325151040 is 401515232.

It is a junction number, because it is equal to n+sod(n) for n = 2325150997 and 2325151015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325151043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506837 + ... + 511403.

Almost surely, 22325151040 is an apocalyptic number.

2325151040 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 2325151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909962176).

2325151040 is an abundant number, since it is smaller than the sum of its proper divisors (3494773312).

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

2325151040 is a wasteful number, since it uses less digits than its factorization.

2325151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2325151040 is about 48219.8199913687. The cubic root of 2325151040 is about 1324.8002148047.

Adding to 2325151040 its reverse (401515232), we get a palindrome (2726666272).

The spelling of 2325151040 in words is "two billion, three hundred twenty-five million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 43 64 74 80 86 148 160 172 185 215 296 320 344 370 430 592 688 740 860 1184 1376 1480 1591 1720 2368 2752 2960 3182 3440 4567 5920 6364 6880 7955 9134 11840 12728 13760 15910 18268 22835 25456 31820 36536 45670 50912 63640 73072 91340 101824 127280 146144 168979 182680 196381 254560 292288 337958 365360 392762 509120 675916 730720 785524 844895 981905 1351832 1461440 1571048 1689790 1963810 2703664 3142096 3379580 3927620 5407328 6284192 6759160 7266097 7855240 10814656 12568384 13518320 14532194 15710480 27036640 29064388 31420960 36330485 54073280 58128776 62841920 72660970 116257552 145321940 232515104 290643880 465030208 581287760 1162575520 2325151040