Search a number
-
+
2228280362320 = 24541679353769
BaseRepresentation
bin100000011011001111110…
…111000000010101010000
321220000120200121210102011
4200123033313000111100
5243002004233043240
64423354033232304
7316662602366005
oct40331767002520
97800520553364
102228280362320
1178a01019a851
122bba32702694
131321838b483c
1479bc68618ac
153ce690e86ea
hex206cfdc0550

2228280362320 has 40 divisors (see below), whose sum is σ = 5307111651240. Its totient is φ = 869572823040.

The previous prime is 2228280362303. The next prime is 2228280362339. The reversal of 2228280362320 is 232630828222.

It can be written as a sum of positive squares in 4 ways, for example, as 9098107456 + 2219182254864 = 95384^2 + 1489692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 339673605 + ... + 339680164.

It is an arithmetic number, because the mean of its divisors is an integer number (132677791281).

Almost surely, 22228280362320 is an apocalyptic number.

2228280362320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2228280362320 is an abundant number, since it is smaller than the sum of its proper divisors (3078831288920).

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

2228280362320 is a wasteful number, since it uses less digits than its factorization.

2228280362320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679353823 (or 679353817 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 2228280362320 in words is "two trillion, two hundred twenty-eight billion, two hundred eighty million, three hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 679353769 1358707538 2717415076 3396768845 5434830152 6793537690 10869660304 13587075380 27174150760 27853504529 54348301520 55707009058 111414018116 139267522645 222828036232 278535045290 445656072464 557070090580 1114140181160 2228280362320