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22463301616340 = 22513292979217721
BaseRepresentation
bin1010001101110001001010…
…00111010000001011010100
32221112110201010001000112112
411012320211013100023110
510421014320203210330
6115435255344410152
74505630361212204
oct506704507201324
987473633030475
1022463301616340
1171806a6166522
122629656316958
13c6c384940550
14579330040404
1528e4c6c81795
hex146e251d02d4

22463301616340 has 48 divisors (see below), whose sum is σ = 52553400616080. Its totient is φ = 8008137231360.

The previous prime is 22463301616333. The next prime is 22463301616363. The reversal of 22463301616340 is 4361610336422.

It can be written as a sum of positive squares in 8 ways, for example, as 2564612164 + 22460737004176 = 50642^2 + 4739276^2 .

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, 1489601321 + ... + 1489616400.

It is an arithmetic number, because the mean of its divisors is an integer number (1094862512835).

Almost surely, 222463301616340 is an apocalyptic number.

22463301616340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22463301616340 is an abundant number, since it is smaller than the sum of its proper divisors (30090098999740).

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

22463301616340 is a wasteful number, since it uses less digits than its factorization.

22463301616340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979217772 (or 2979217770 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 41.

The spelling of 22463301616340 in words is "twenty-two trillion, four hundred sixty-three billion, three hundred one million, six hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 2979217721 5958435442 11916870884 14896088605 29792177210 38729830373 59584354420 77459660746 86397313909 154919321492 172794627818 193649151865 345589255636 387298303730 431986569545 774596607460 863973139090 1123165080817 1727946278180 2246330161634 4492660323268 5615825404085 11231650808170 22463301616340