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23210400234200 = 23523127491361809
BaseRepresentation
bin1010100011100000101111…
…01010010011101011011000
310001011220002200220002211112
411101300113222103223120
511020234344424443300
6121210413300515452
74613616232533344
oct521602752235330
9101156080802745
1023210400234200
117439525924893
12272a3b80abb88
13cc4967a1432a
145a35645c0624
152a3b50b19e35
hex151c17a93ad8

23210400234200 has 96 divisors (see below), whose sum is σ = 55725265200000. Its totient is φ = 8981396121600.

The previous prime is 23210400234193. The next prime is 23210400234227. The reversal of 23210400234200 is 243200401232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16362896 + ... + 17724704.

It is an arithmetic number, because the mean of its divisors is an integer number (580471512500).

Almost surely, 223210400234200 is an apocalyptic number.

23210400234200 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 23210400234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862632600000).

23210400234200 is an abundant number, since it is smaller than the sum of its proper divisors (32514864965800).

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

23210400234200 is a wasteful number, since it uses less digits than its factorization.

23210400234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364605 (or 1364596 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 23210400234200 its reverse (243200401232), we get a palindrome (23453600635432).

The spelling of 23210400234200 in words is "twenty-three trillion, two hundred ten billion, four hundred million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 2749 3100 5498 6200 10996 13745 21992 27490 54980 68725 85219 109960 137450 170438 274900 340876 426095 549800 681752 852190 1361809 1704380 2130475 2723618 3408760 4260950 5447236 6809045 8521900 10894472 13618090 17043800 27236180 34045225 42216079 54472360 68090450 84432158 136180900 168864316 211080395 272361800 337728632 422160790 844321580 1055401975 1688643160 2110803950 3743612941 4221607900 7487225882 8443215800 14974451764 18718064705 29948903528 37436129410 74872258820 93590323525 116052001171 149744517640 187180647050 232104002342 374361294100 464208004684 580260005855 748722588200 928416009368 1160520011710 2321040023420 2901300029275 4642080046840 5802600058550 11605200117100 23210400234200