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2225246544 = 2432101153001
BaseRepresentation
bin1000010010100010…
…1001000101010000
312202002012020101200
42010220221011100
514024130342134
61004450431200
7106100166153
oct20450510520
95662166350
102225246544
11a42103734
12521292500
13296030b41
1417176dc9a
15d0557499
hex84a29150

2225246544 has 60 divisors (see below), whose sum is σ = 6289300212. Its totient is φ = 734400000.

The previous prime is 2225246521. The next prime is 2225246567. The reversal of 2225246544 is 4456425222.

2225246544 is a `hidden beast` number, since 2 + 22 + 52 + 46 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (2225246521) and next prime (2225246567).

It can be written as a sum of positive squares in 2 ways, for example, as 1088208144 + 1137038400 = 32988^2 + 33720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2225246499 and 2225246508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61957 + ... + 91044.

Almost surely, 22225246544 is an apocalyptic number.

2225246544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2225246544 is an abundant number, since it is smaller than the sum of its proper divisors (4064053668).

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

2225246544 is a wasteful number, since it uses less digits than its factorization.

2225246544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153116 (or 153107 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 2225246544 is about 47172.5189490661. The cubic root of 2225246544 is about 1305.5476030100.

The spelling of 2225246544 in words is "two billion, two hundred twenty-five million, two hundred forty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 153001 306002 459003 612004 918006 1224008 1377009 1836012 2448016 2754018 3672024 5508036 7344048 11016072 15453101 22032144 30906202 46359303 61812404 92718606 123624808 139077909 185437212 247249616 278155818 370874424 556311636 741748848 1112623272 2225246544