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2275623480 = 2335135632591
BaseRepresentation
bin1000011110100011…
…0100001000111000
312212120222122120010
42013220310020320
514130024422410
61013450301520
7110251323534
oct20750641070
95776878503
102275623480
11a68591669
125361278a0
132a35bb990
14178324bc4
15d4ba8c20
hex87a34238

2275623480 has 128 divisors (see below), whose sum is σ = 7367915520. Its totient is φ = 558942720.

The previous prime is 2275623433. The next prime is 2275623481. The reversal of 2275623480 is 843265722.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275623481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876985 + ... + 879575.

It is an arithmetic number, because the mean of its divisors is an integer number (57561840).

Almost surely, 22275623480 is an apocalyptic number.

2275623480 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 2275623480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683957760).

2275623480 is an abundant number, since it is smaller than the sum of its proper divisors (5092292040).

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

2275623480 is a wasteful number, since it uses less digits than its factorization.

2275623480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2275623480 is about 47703.4954694098. The cubic root of 2275623480 is about 1315.3261933735.

The spelling of 2275623480 in words is "two billion, two hundred seventy-five million, six hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 563 780 1126 1560 1689 2252 2591 2815 3378 4504 5182 5630 6756 7319 7773 8445 10364 11260 12955 13512 14638 15546 16890 20728 21957 22520 25910 29276 31092 33683 33780 36595 38865 43914 51820 58552 62184 67366 67560 73190 77730 87828 101049 103640 109785 134732 146380 155460 168415 175656 202098 219570 269464 292760 310920 336830 404196 439140 505245 673660 808392 878280 1010490 1347320 1458733 2020980 2917466 4041960 4376199 5834932 7293665 8752398 11669864 14587330 17504796 18963529 21880995 29174660 35009592 37927058 43761990 56890587 58349320 75854116 87523980 94817645 113781174 151708232 175047960 189635290 227562348 284452935 379270580 455124696 568905870 758541160 1137811740 2275623480