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13223200400 = 245267493403
BaseRepresentation
bin11000101000010101…
…00000011010010000
31021010112210011211222
430110022200122100
5204040114403100
610024043024212
7645453230444
oct142412403220
937115704758
1013223200400
1156761741a3
12269050b068
1313296c0047
148d626a824
15525d40485
hex3142a0690

13223200400 has 60 divisors (see below), whose sum is σ = 32242964592. Its totient is φ = 5210325120.

The previous prime is 13223200399. The next prime is 13223200409. The reversal of 13223200400 is 400232231.

It is not an unprimeable number, because it can be changed into a prime (13223200409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219902 + ... + 273501.

Almost surely, 213223200400 is an apocalyptic number.

13223200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13223200400 is an abundant number, since it is smaller than the sum of its proper divisors (19019764192).

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

13223200400 is a wasteful number, since it uses less digits than its factorization.

13223200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493488 (or 493477 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 13223200400 its reverse (400232231), we get a palindrome (13623432631).

The spelling of 13223200400 in words is "thirteen billion, two hundred twenty-three million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 400 536 670 1072 1340 1675 2680 3350 5360 6700 13400 26800 493403 986806 1973612 2467015 3947224 4934030 7894448 9868060 12335075 19736120 24670150 33058001 39472240 49340300 66116002 98680600 132232004 165290005 197361200 264464008 330580010 528928016 661160020 826450025 1322320040 1652900050 2644640080 3305800100 6611600200 13223200400