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23332454420 = 225112331148747
BaseRepresentation
bin10101101110101110…
…010000000000010100
32020020002010111022112
4111232232100000110
5340241102020140
614415131250152
71454125406312
oct255656200024
966202114275
1023332454420
119993620390
124631ba9958
13227ac11162
1411b4b0d0b2
159185cec65
hex56eb90014

23332454420 has 96 divisors (see below), whose sum is σ = 57576185856. Its totient is φ = 7853788800.

The previous prime is 23332454419. The next prime is 23332454477. The reversal of 23332454420 is 2445423332.

It is a super-2 number, since 2×233324544202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82487 + ... + 231233.

It is an arithmetic number, because the mean of its divisors is an integer number (599751936).

Almost surely, 223332454420 is an apocalyptic number.

23332454420 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 23332454420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788092928).

23332454420 is an abundant number, since it is smaller than the sum of its proper divisors (34243731436).

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

23332454420 is a wasteful number, since it uses less digits than its factorization.

23332454420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148821 (or 148819 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 23332454420 its reverse (2445423332), we get a palindrome (25777877752).

The spelling of 23332454420 in words is "twenty-three billion, three hundred thirty-two million, four hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 31 44 46 55 62 92 110 115 124 155 220 230 253 310 341 460 506 620 682 713 1012 1265 1364 1426 1705 2530 2852 3410 3565 5060 6820 7130 7843 14260 15686 31372 39215 78430 148747 156860 297494 594988 743735 1487470 1636217 2974940 3272434 3421181 4611157 6544868 6842362 8181085 9222314 13684724 16362170 17105905 18444628 23055785 32724340 34211810 37632991 46111570 50722727 68423620 75265982 92223140 101445454 106056611 150531964 188164955 202890908 212113222 253613635 376329910 424226444 507227270 530283055 752659820 1014454540 1060566110 1166622721 2121132220 2333245442 4666490884 5833113605 11666227210 23332454420