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22400400440 = 23511139366259
BaseRepresentation
bin10100110111001010…
…101111110000111000
32010211010022020121202
4110313022233300320
5331334000303230
614142434153332
71422050155625
oct246712576070
963733266552
1022400400440
119555495440
124411a22848
13215caa3922
14112700b34c
158b1870a45
hex5372afc38

22400400440 has 64 divisors (see below), whose sum is σ = 55378512000. Its totient is φ = 8086976640.

The previous prime is 22400400437. The next prime is 22400400457. The reversal of 22400400440 is 4400400422.

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

It is a congruent number.

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, 121970 + ... + 244289.

It is an arithmetic number, because the mean of its divisors is an integer number (865289250).

Almost surely, 222400400440 is an apocalyptic number.

22400400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22400400440 is an abundant number, since it is smaller than the sum of its proper divisors (32978111560).

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

22400400440 is a wasteful number, since it uses less digits than its factorization.

22400400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366420 (or 366416 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22400400440 its reverse (4400400422), we get a palindrome (26800800862).

The spelling of 22400400440 in words is "twenty-two billion, four hundred million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 139 220 278 440 556 695 1112 1390 1529 2780 3058 5560 6116 7645 12232 15290 30580 61160 366259 732518 1465036 1831295 2930072 3662590 4028849 7325180 8057698 14650360 16115396 20144245 32230792 40288490 50910001 80576980 101820002 161153960 203640004 254550005 407280008 509100010 560010011 1018200020 1120020022 2036400040 2240040044 2800050055 4480080088 5600100110 11200200220 22400400440