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44222400024 = 233111240913499
BaseRepresentation
bin101001001011110111…
…000100011000011000
311020010221020200102120
4221023313010120120
51211031413300044
632152051301240
73123605124645
oct511367043030
9136127220376
1044222400024
1117833434740
1286a1baa820
134229aa1c0a
1421d7294dcc
15123c53d519
hexa4bdc4618

44222400024 has 64 divisors (see below), whose sum is σ = 120625200000. Its totient is φ = 13398654720.

The previous prime is 44222399983. The next prime is 44222400029. The reversal of 44222400024 is 42000422244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 44222399967 and 44222400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44222400029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3269227 + ... + 3282725.

It is an arithmetic number, because the mean of its divisors is an integer number (1884768750).

Almost surely, 244222400024 is an apocalyptic number.

44222400024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44222400024 is an abundant number, since it is smaller than the sum of its proper divisors (76402799976).

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

44222400024 is a wasteful number, since it uses less digits than its factorization.

44222400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25928 (or 25924 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44222400024 its reverse (42000422244), we get a palindrome (86222822268).

The spelling of 44222400024 in words is "forty-four billion, two hundred twenty-two million, four hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 12409 13499 24818 26998 37227 40497 49636 53996 74454 80994 99272 107992 136499 148489 148908 161988 272998 296978 297816 323976 409497 445467 545996 593956 818994 890934 1091992 1187912 1637988 1781868 3275976 3563736 167509091 335018182 502527273 670036364 1005054546 1340072728 1842600001 2010109092 3685200002 4020218184 5527800003 7370400004 11055600006 14740800008 22111200012 44222400024