Search a number
-
+
2330223212232 = 2333371051277421
BaseRepresentation
bin100001111010001100001…
…000000111011011001000
322020202201021002010201000
4201322030020013123020
5301134244120242412
64542253442255000
7330232050331656
oct41721410073310
98222637063630
102330223212232
11819273288833
12317743057460
1313b97ba7b8c6
1480ad7941dd6
1540933ba74dc
hex21e8c2076c8

2330223212232 has 128 divisors (see below), whose sum is σ = 6654133123200. Its totient is φ = 755026272000.

The previous prime is 2330223212201. The next prime is 2330223212287. The reversal of 2330223212232 is 2322123220332.

2330223212232 is a `hidden beast` number, since 2 + 3 + 302 + 2 + 321 + 2 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2330223212196 and 2330223212205.

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 31 ways as a sum of consecutive naturals, for example, 8260882 + ... + 8538302.

It is an arithmetic number, because the mean of its divisors is an integer number (51985415025).

Almost surely, 22330223212232 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 2330223212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327066561600).

2330223212232 is an abundant number, since it is smaller than the sum of its proper divisors (4323909910968).

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

2330223212232 is a wasteful number, since it uses less digits than its factorization.

2330223212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278524 (or 278514 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2330223212232 its reverse (2322123220332), we get a palindrome (4652346432564).

The spelling of 2330223212232 in words is "two trillion, three hundred thirty billion, two hundred twenty-three million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1051 1332 1998 2102 2664 3153 3996 4204 6306 7992 8408 9459 12612 18918 25224 28377 37836 38887 56754 75672 77774 113508 116661 155548 227016 233322 277421 311096 349983 466644 554842 699966 832263 933288 1049949 1109684 1399932 1664526 2099898 2219368 2496789 2799864 3329052 4199796 4993578 6658104 7490367 8399592 9987156 10264577 14980734 19974312 20529154 29961468 30793731 41058308 59922936 61587462 82116616 92381193 123174924 184762386 246349848 277143579 291569471 369524772 554287158 583138942 739049544 874708413 1108574316 1166277884 1749416826 2217148632 2332555768 2624125239 3498833652 5248250478 6997667304 7872375717 10496500956 10788070427 15744751434 20993001912 21576140854 31489502868 32364211281 43152281708 62979005736 64728422562 86304563416 97092633843 129456845124 194185267686 258913690248 291277901529 388370535372 582555803058 776741070744 1165111606116 2330223212232