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20024004400 = 245285358687
BaseRepresentation
bin10010101001100001…
…100000111100110000
31220200111200211002121
4102221201200330300
5312002121120100
613110543524024
71306133141401
oct225141407460
956614624077
1020024004400
118546034974
123a69bb9614
131b7166091a
14d7d5739a8
157c2e0d51a
hex4a9860f30

20024004400 has 60 divisors (see below), whose sum is σ = 48164889472. Its totient is φ = 8000075520.

The previous prime is 20024004397. The next prime is 20024004443. The reversal of 20024004400 is 440042002.

It is a super-2 number, since 2×200240044002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311857 + ... + 370543.

Almost surely, 220024004400 is an apocalyptic number.

20024004400 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 20024004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24082444736).

20024004400 is an abundant number, since it is smaller than the sum of its proper divisors (28140885072).

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

20024004400 is a wasteful number, since it uses less digits than its factorization.

20024004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59558 (or 59547 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20024004400 its reverse (440042002), we get a palindrome (20464046402).

The spelling of 20024004400 in words is "twenty billion, twenty-four million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 853 1706 3412 4265 6824 8530 13648 17060 21325 34120 42650 58687 68240 85300 117374 170600 234748 293435 341200 469496 586870 938992 1173740 1467175 2347480 2934350 4694960 5868700 11737400 23474800 50060011 100120022 200240044 250300055 400480088 500600110 800960176 1001200220 1251500275 2002400440 2503000550 4004800880 5006001100 10012002200 20024004400