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2325681504 = 25333122801
BaseRepresentation
bin1000101010011111…
…0001010101100000
320000002011212021000
42022213301111200
514230333302004
61022435232000
7111426652356
oct21247612540
96002155230
102325681504
11a93871a33
1254aa48600
132b0a97603
14180c357d6
15d9295c39
hex8a9f1560

2325681504 has 144 divisors (see below), whose sum is σ = 7011612720. Its totient is φ = 749952000.

The previous prime is 2325681493. The next prime is 2325681539. The reversal of 2325681504 is 4051865232.

2325681504 is a `hidden beast` number, since 23 + 2 + 56 + 81 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828904 + ... + 831704.

It is an arithmetic number, because the mean of its divisors is an integer number (48691755).

Almost surely, 22325681504 is an apocalyptic number.

2325681504 is a gapful number since it is divisible by the number (24) 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 2325681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505806360).

2325681504 is an abundant number, since it is smaller than the sum of its proper divisors (4685931216).

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

2325681504 is a wasteful number, since it uses less digits than its factorization.

2325681504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2325681504 is about 48225.3201544583. The cubic root of 2325681504 is about 1324.9009545520.

The spelling of 2325681504 in words is "two billion, three hundred twenty-five million, six hundred eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 961 992 1116 1488 1674 1922 2232 2801 2883 2976 3348 3844 4464 5602 5766 6696 7688 8403 8649 8928 11204 11532 13392 15376 16806 17298 22408 23064 25209 25947 26784 30752 33612 34596 44816 46128 50418 51894 67224 69192 75627 86831 89632 92256 100836 103788 134448 138384 151254 173662 201672 207576 260493 268896 276768 302508 347324 403344 415152 520986 605016 694648 781479 806688 830304 1041972 1210032 1389296 1562958 2083944 2344437 2420064 2691761 2778592 3125916 4167888 4688874 5383522 6251832 8075283 8335776 9377748 10767044 12503664 16150566 18755496 21534088 24225849 25007328 32301132 37510992 43068176 48451698 64602264 72677547 75021984 86136352 96903396 129204528 145355094 193806792 258409056 290710188 387613584 581420376 775227168 1162840752 2325681504