Search a number
-
+
2223561635040 = 25354632420073
BaseRepresentation
bin100000010110110110100…
…110011111010011100000
321212120101211111121111010
4200112312212133103200
5242412323234310130
64421253510420520
7316434634022424
oct40266646372340
97776354447433
102223561635040
11788009636139
122bab36361740
131318b10c7a15
1479899c9ab84
153cc8ec020b0
hex205b699f4e0

2223561635040 has 48 divisors (see below), whose sum is σ = 7004219151888. Its totient is φ = 592949769216.

The previous prime is 2223561634999. The next prime is 2223561635077. The reversal of 2223561635040 is 405361653222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2223561635040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2316209557 + ... + 2316210516.

It is an arithmetic number, because the mean of its divisors is an integer number (145921232331).

Almost surely, 22223561635040 is an apocalyptic number.

2223561635040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223561635040 is an abundant number, since it is smaller than the sum of its proper divisors (4780657516848).

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

2223561635040 is a wasteful number, since it uses less digits than its factorization.

2223561635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632420091 (or 4632420083 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 2223561635040 in words is "two trillion, two hundred twenty-three billion, five hundred sixty-one million, six hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4632420073 9264840146 13897260219 18529680292 23162100365 27794520438 37059360584 46324200730 55589040876 69486301095 74118721168 92648401460 111178081752 138972602190 148237442336 185296802920 222356163504 277945204380 370593605840 444712327008 555890408760 741187211680 1111780817520 2223561635040