Search a number
-
+
22629153800 = 23521129672
BaseRepresentation
bin10101000100110011…
…010111110000001000
32011102001202010020102
4111010303113300020
5332321030410200
614221245144532
71430525430221
oct250463276010
964361663212
1022629153800
119662627200
12447655b148
1321982b7646
141149556248
158c69a96d5
hex544cd7c08

22629153800 has 108 divisors (see below), whose sum is σ = 57890445165. Its totient is φ = 8220273600.

The previous prime is 22629153791. The next prime is 22629153839. The reversal of 22629153800 is 835192622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 22176570724 + 452583076 = 148918^2 + 21274^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106370.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23400917 + ... + 23401883.

Almost surely, 222629153800 is an apocalyptic number.

22629153800 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 22629153800

22629153800 is an abundant number, since it is smaller than the sum of its proper divisors (35261291365).

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

22629153800 is an equidigital number, since it uses as much as digits as its factorization.

22629153800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 22629153800 in words is "twenty-two billion, six hundred twenty-nine million, one hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 967 968 1100 1210 1934 2200 2420 3025 3868 4835 4840 6050 7736 9670 10637 12100 19340 21274 24175 24200 38680 42548 48350 53185 85096 96700 106370 117007 193400 212740 234014 265925 425480 468028 531850 585035 935089 936056 1063700 1170070 1870178 2127400 2340140 2925175 3740356 4675445 4680280 5850350 7480712 9350890 10285979 11700700 18701780 20571958 23377225 23401400 37403560 41143916 46754450 51429895 82287832 93508900 102859790 113145769 187017800 205719580 226291538 257149475 411439160 452583076 514298950 565728845 905166152 1028597900 1131457690 2057195800 2262915380 2828644225 4525830760 5657288450 11314576900 22629153800