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2253034320 = 243513967537
BaseRepresentation
bin1000011001001010…
…1001001101010000
312211000111000001120
42012102221031100
514103234044240
61011322202240
7106555322115
oct20622511520
95730430046
102253034320
11a56863039
1252a653380
1329ba0cc04
1417532490c
15d2be5ad0
hex864a9350

2253034320 has 80 divisors (see below), whose sum is σ = 7034758080. Its totient is φ = 596477952.

The previous prime is 2253034319. The next prime is 2253034349. The reversal of 2253034320 is 234303522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 409 + ... + 67128.

It is an arithmetic number, because the mean of its divisors is an integer number (87934476).

Almost surely, 22253034320 is an apocalyptic number.

2253034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517379040).

2253034320 is an abundant number, since it is smaller than the sum of its proper divisors (4781723760).

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

2253034320 is a wasteful number, since it uses less digits than its factorization.

2253034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67692 (or 67686 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2253034320 is about 47466.1386674754. The cubic root of 2253034320 is about 1310.9594819914.

Adding to 2253034320 its reverse (234303522), we get a palindrome (2487337842).

The spelling of 2253034320 in words is "two billion, two hundred fifty-three million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 67537 135074 202611 270148 337685 405222 540296 675370 810444 1013055 1080592 1350740 1620888 2026110 2701480 3241776 4052220 5402960 8104440 9387643 16208880 18775286 28162929 37550572 46938215 56325858 75101144 93876430 112651716 140814645 150202288 187752860 225303432 281629290 375505720 450606864 563258580 751011440 1126517160 2253034320