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224242000040 = 235291371411037
BaseRepresentation
bin1101000011010111011…
…1010110000010101000
3210102210210212212211202
43100311313112002220
512133221423000130
6251003152143332
722125632356652
oct3206567260250
9712723785752
10224242000040
1187111843683
1237562237b48
13181b87b97b6
14abd39136d2
155c76819145
hex3435dd60a8

224242000040 has 64 divisors (see below), whose sum is σ = 525752758800. Its totient is φ = 85971601408.

The previous prime is 224242000007. The next prime is 224242000093. The reversal of 224242000040 is 40000242422.

It can be written as a sum of positive squares in 8 ways, for example, as 160869979396 + 63372020644 = 401086^2 + 251738^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 224241999976 and 224242000021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546599 + ... + 864438.

Almost surely, 2224242000040 is an apocalyptic number.

224242000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224242000040 is an abundant number, since it is smaller than the sum of its proper divisors (301510758760).

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

224242000040 is a wasteful number, since it uses less digits than its factorization.

224242000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411214 (or 1411210 counting only the distinct ones).

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

Adding to 224242000040 its reverse (40000242422), we get a palindrome (264242242462).

The spelling of 224242000040 in words is "two hundred twenty-four billion, two hundred forty-two million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 116 137 145 232 274 290 548 580 685 1096 1160 1370 2740 3973 5480 7946 15892 19865 31784 39730 79460 158920 1411037 2822074 5644148 7055185 11288296 14110370 28220740 40920073 56441480 81840146 163680292 193312069 204600365 327360584 386624138 409200730 773248276 818401460 966560345 1546496552 1636802920 1933120690 3866241380 5606050001 7732482760 11212100002 22424200004 28030250005 44848400008 56060500010 112121000020 224242000040