Search a number
-
+
23333223212032 = 210613152324407
BaseRepresentation
bin1010100111000101100000…
…11110110010010000000000
310001121122010102222211220111
411103202300132302100000
511024242420120241112
6121343045035321104
74625525010604666
oct523426036622000
9101548112884814
1023333223212032
117486623230a38
12274a1752b0194
13100340ca12586
145a949680cc36
152a6e3d8485a7
hex1538b07b2400

23333223212032 has 88 divisors (see below), whose sum is σ = 46752342457536. Its totient is φ = 11639454916608.

The previous prime is 23333223212029. The next prime is 23333223212053. The reversal of 23333223212032 is 23021232233332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23333223211985 and 23333223212003.

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 7 ways as a sum of consecutive naturals, for example, 955993173 + ... + 956017579.

Almost surely, 223333223212032 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 23333223212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23376171228768).

23333223212032 is an abundant number, since it is smaller than the sum of its proper divisors (23419119245504).

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

23333223212032 is a wasteful number, since it uses less digits than its factorization.

23333223212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26563 (or 26545 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 23333223212032 its reverse (23021232233332), we get a palindrome (46354455445364).

The spelling of 23333223212032 in words is "twenty-three trillion, three hundred thirty-three billion, two hundred twenty-three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 613 1024 1226 1523 2452 3046 4904 6092 9808 12184 19616 24368 24407 39232 48736 48814 78464 97472 97628 156928 194944 195256 313856 389888 390512 627712 779776 781024 933599 1559552 1562048 1867198 3124096 3734396 6248192 7468792 12496384 14937584 14961491 24992768 29875168 29922982 37171861 59750336 59845964 74343722 119500672 119691928 148687444 239001344 239383856 297374888 478002688 478767712 594749776 956005376 957535424 1189499552 1915070848 2378999104 3830141696 4757998208 7660283392 9515996416 15320566784 19031992832 22786350793 38063985664 45572701586 91145403172 182290806344 364581612688 729163225376 1458326450752 2916652901504 5833305803008 11666611606016 23333223212032