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22010430440 = 23529151125659
BaseRepresentation
bin10100011111111011…
…001000001111101000
32002210221111201100102
4110133323020033220
5330034132233230
614040023524532
71406303400065
oct243773101750
962727451312
1022010430440
119375350189
1243232b9748
1320ca06474b
1410cb2d7c6c
1588c4de045
hex51fec83e8

22010430440 has 64 divisors (see below), whose sum is σ = 51570864000. Its totient is φ = 8444217600.

The previous prime is 22010430401. The next prime is 22010430461. The reversal of 22010430440 is 4403401022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112331 + ... + 237989.

It is an arithmetic number, because the mean of its divisors is an integer number (805794750).

Almost surely, 222010430440 is an apocalyptic number.

22010430440 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 22010430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25785432000).

22010430440 is an abundant number, since it is smaller than the sum of its proper divisors (29560433560).

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

22010430440 is a wasteful number, since it uses less digits than its factorization.

22010430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125850 (or 125846 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22010430440 its reverse (4403401022), we get a palindrome (26413831462).

The spelling of 22010430440 in words is "twenty-two billion, ten million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 151 232 290 302 580 604 755 1160 1208 1510 3020 4379 6040 8758 17516 21895 35032 43790 87580 125659 175160 251318 502636 628295 1005272 1256590 2513180 3644111 5026360 7288222 14576444 18220555 18974509 29152888 36441110 37949018 72882220 75898036 94872545 145764440 151796072 189745090 379490180 550260761 758980360 1100521522 2201043044 2751303805 4402086088 5502607610 11005215220 22010430440