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22034130400 = 2552293130637
BaseRepresentation
bin10100100001010101…
…100010010111100000
32002212121002210120201
4110201111202113200
5330111214133100
614042231514544
71410012006142
oct244125422740
962777083521
1022034130400
119387768327
12432b228a54
132101c41ca9
1410d0506c92
1588e62136a
hex5215625e0

22034130400 has 144 divisors (see below), whose sum is σ = 57442573440. Its totient is φ = 8234956800.

The previous prime is 22034130367. The next prime is 22034130401. The reversal of 22034130400 is 403143022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22034130401) 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, 703882 + ... + 734518.

It is an arithmetic number, because the mean of its divisors is an integer number (398906760).

Almost surely, 222034130400 is an apocalyptic number.

22034130400 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 22034130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28721286720).

22034130400 is an abundant number, since it is smaller than the sum of its proper divisors (35408443040).

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

22034130400 is a wasteful number, since it uses less digits than its factorization.

22034130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30717 (or 30704 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 22034130400 its reverse (403143022), we get a palindrome (22437273422).

The spelling of 22034130400 in words is "twenty-two billion, thirty-four million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 31 32 40 50 58 62 80 100 116 124 145 155 160 200 232 248 290 310 400 464 496 580 620 725 775 800 899 928 992 1160 1240 1450 1550 1798 2320 2480 2900 3100 3596 4495 4640 4960 5800 6200 7192 8990 11600 12400 14384 17980 22475 23200 24800 28768 30637 35960 44950 61274 71920 89900 122548 143840 153185 179800 245096 306370 359600 490192 612740 719200 765925 888473 949747 980384 1225480 1531850 1776946 1899494 2450960 3063700 3553892 3798988 4442365 4748735 4901920 6127400 7107784 7597976 8884730 9497470 12254800 14215568 15195952 17769460 18994940 22211825 23743675 24509600 27542663 28431136 30391904 35538920 37989880 44423650 47487350 55085326 71077840 75979760 88847300 94974700 110170652 137713315 142155680 151959520 177694600 189949400 220341304 275426630 355389200 379898800 440682608 550853260 688566575 710778400 759797600 881365216 1101706520 1377133150 2203413040 2754266300 4406826080 5508532600 11017065200 22034130400