Search a number
-
+
22431431400 = 2335275340817
BaseRepresentation
bin10100111001000001…
…000111101011101000
32010220021200210002120
4110321001013223220
5331414421301100
614145503231240
71422605010120
oct247101075350
963807623076
1022431431400
119570a5a464
1244202a8520
132166349c41
14112b1a7c80
158b44500a0
hex539047ae8

22431431400 has 96 divisors (see below), whose sum is σ = 79471371840. Its totient is φ = 5127183360.

The previous prime is 22431431387. The next prime is 22431431401. The reversal of 22431431400 is 413413422.

It is a super-2 number, since 2×224314314002 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22431431401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2666209 + ... + 2674608.

It is an arithmetic number, because the mean of its divisors is an integer number (827826790).

Almost surely, 222431431400 is an apocalyptic number.

22431431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22431431400 is an abundant number, since it is smaller than the sum of its proper divisors (57039940440).

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

22431431400 is a wasteful number, since it uses less digits than its factorization.

22431431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340843 (or 5340834 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22431431400 its reverse (413413422), we get a palindrome (22844844822).

The spelling of 22431431400 in words is "twenty-two billion, four hundred thirty-one million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 5340817 10681634 16022451 21363268 26704085 32044902 37385719 42726536 53408170 64089804 74771438 80112255 106816340 112157157 128179608 133520425 149542876 160224510 186928595 213632680 224314314 267040850 299085752 320449020 373857190 400561275 448628628 534081700 560785785 640898040 747714380 801122550 897257256 934642975 1068163400 1121571570 1495428760 1602245100 1869285950 2243143140 2803928925 3204490200 3738571900 4486286280 5607857850 7477143800 11215715700 22431431400