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23000013332232 = 2332973617733687
BaseRepresentation
bin1010011101011000110111…
…00111111101111100001000
310000102210001110211010111020
411032230123213331330020
511003313011403112412
6120530021003232440
74562460525424326
oct516543347757410
9100383043733436
1023000013332232
117368283a0a492
1226b5681b18720
13caab79801121
145972c6c24d16
1529d43a86018c
hex14eb1b9fdf08

23000013332232 has 128 divisors (see below), whose sum is σ = 60395435308800. Its totient is φ = 7289058889728.

The previous prime is 23000013332167. The next prime is 23000013332243. The reversal of 23000013332232 is 23223331000032.

It is a super-2 number, since 2×230000133322322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 30981693 + ... + 31715379.

It is an arithmetic number, because the mean of its divisors is an integer number (471839338350).

Almost surely, 223000013332232 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 23000013332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30197717654400).

23000013332232 is an abundant number, since it is smaller than the sum of its proper divisors (37395421976568).

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

23000013332232 is a wasteful number, since it uses less digits than its factorization.

23000013332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734415 (or 734411 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23000013332232 its reverse (23223331000032), we get a palindrome (46223344332264).

The spelling of 23000013332232 in words is "twenty-three trillion, thirteen million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 73 87 116 146 174 219 232 292 348 438 584 617 696 876 1234 1752 1851 2117 2468 3702 4234 4936 6351 7404 8468 12702 14808 16936 17893 25404 35786 45041 50808 53679 71572 90082 107358 135123 143144 180164 214716 270246 360328 429432 540492 733687 1080984 1306189 1467374 2201061 2612378 2934748 3918567 4402122 5224756 5869496 7837134 8804244 10449512 15674268 17608488 21276923 31348536 42553846 53559151 63830769 85107692 107118302 127661538 160677453 170215384 214236604 255323076 321354906 428473208 452684879 510646152 642709812 905369758 1285419624 1358054637 1553215379 1810739516 2716109274 3106430758 3621479032 4659646137 5432218548 6212861516 9319292274 10864437096 12425723032 13127861491 18638584548 26255722982 33045996167 37277169096 39383584473 52511445964 66091992334 78767168946 99137988501 105022891928 132183984668 157534337892 198275977002 264367969336 315068675784 396551954004 793103908008 958333888843 1916667777686 2875001666529 3833335555372 5750003333058 7666671110744 11500006666116 23000013332232