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23252332140 = 22325834993119
BaseRepresentation
bin10101101001111100…
…100110111001101100
32020000111100212012200
4111221330212321230
5340110044112030
614403150101500
71452133363542
oct255174467154
966014325180
1023252332140
119952376324
12460b1aa890
13226743a21b
1411a8213d92
15911554d60
hex569f26e6c

23252332140 has 144 divisors (see below), whose sum is σ = 71547840000. Its totient is φ = 6111679104.

The previous prime is 23252332139. The next prime is 23252332177. The reversal of 23252332140 is 4123325232.

23252332140 is a `hidden beast` number, since 2 + 325 + 2 + 332 + 1 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7453501 + ... + 7456619.

It is an arithmetic number, because the mean of its divisors is an integer number (496860000).

Almost surely, 223252332140 is an apocalyptic number.

23252332140 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 23252332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920000).

23252332140 is an abundant number, since it is smaller than the sum of its proper divisors (48295507860).

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

23252332140 is a wasteful number, since it uses less digits than its factorization.

23252332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23252332140 its reverse (4123325232), we get a palindrome (27375657372).

The spelling of 23252332140 in words is "twenty-three billion, two hundred fifty-two million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 499 747 830 996 998 1245 1494 1497 1660 1996 2490 2495 2988 2994 3119 3735 4491 4980 4990 5988 6238 7470 7485 8982 9357 9980 12476 14940 14970 15595 17964 18714 22455 28071 29940 31190 37428 41417 44910 46785 56142 62380 82834 89820 93570 112284 124251 140355 165668 187140 207085 248502 258877 280710 372753 414170 497004 517754 561420 621255 745506 776631 828340 1035508 1242510 1294385 1491012 1553262 1556381 1863765 2329893 2485020 2588770 3106524 3112762 3727530 3883155 4659786 4669143 5177540 6225524 7455060 7766310 7781905 9319572 9338286 11649465 14007429 15532620 15563810 18676572 23298930 23345715 28014858 31127620 46597860 46691430 56029716 70037145 93382860 129179623 140074290 258359246 280148580 387538869 516718492 645898115 775077738 1162616607 1291796230 1550155476 1937694345 2325233214 2583592460 3875388690 4650466428 5813083035 7750777380 11626166070 23252332140