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22315430000 = 24542399337
BaseRepresentation
bin10100110010000110…
…100111000001110000
32010121012102022002102
4110302012213001300
5331200222230000
614130201035532
71416666011453
oct246206470160
963535368072
1022315430000
119511529936
1243a9485ba8
1321482c3066
141119a0d49a
158a91893d5
hex5321a7070

22315430000 has 100 divisors (see below), whose sum is σ = 54259756320. Its totient is φ = 8887872000.

The previous prime is 22315429991. The next prime is 22315430003. The reversal of 22315430000 is 3451322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×223154300003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22315430003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2385332 + ... + 2394668.

Almost surely, 222315430000 is an apocalyptic number.

22315430000 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 22315430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27129878160).

22315430000 is an abundant number, since it is smaller than the sum of its proper divisors (31944326320).

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

22315430000 is an equidigital number, since it uses as much as digits as its factorization.

22315430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9604 (or 9583 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 22315430000 its reverse (3451322), we get a palindrome (22318881322).

The spelling of 22315430000 in words is "twenty-two billion, three hundred fifteen million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 239 250 400 478 500 625 956 1000 1195 1250 1912 2000 2390 2500 3824 4780 5000 5975 9337 9560 10000 11950 18674 19120 23900 29875 37348 46685 47800 59750 74696 93370 95600 119500 149375 149392 186740 233425 239000 298750 373480 466850 478000 597500 746960 933700 1167125 1195000 1867400 2231543 2334250 2390000 3734800 4463086 4668500 5835625 8926172 9337000 11157715 11671250 17852344 18674000 22315430 23342500 35704688 44630860 46685000 55788575 89261720 93370000 111577150 178523440 223154300 278942875 446308600 557885750 892617200 1115771500 1394714375 2231543000 2789428750 4463086000 5578857500 11157715000 22315430000