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2249114472 = 2333111496353
BaseRepresentation
bin1000011000001110…
…1100001101101000
312210202002212001000
42012003230031220
514101233130342
61011102155000
7106510105023
oct20603541550
95722085030
102249114472
11a54625aa0
12529282a60
1329ac69987
141749c41ba
15d26be44c
hex860ec368

2249114472 has 128 divisors (see below), whose sum is σ = 6862320000. Its totient is φ = 676869120.

The previous prime is 2249114471. The next prime is 2249114513. The reversal of 2249114472 is 2744119422.

It is a happy number.

2249114472 is a `hidden beast` number, since 22 + 491 + 144 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2249114471) 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, 350848 + ... + 357200.

It is an arithmetic number, because the mean of its divisors is an integer number (53611875).

Almost surely, 22249114472 is an apocalyptic number.

2249114472 is a gapful number since it is divisible by the number (22) 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 2249114472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431160000).

2249114472 is an abundant number, since it is smaller than the sum of its proper divisors (4613205528).

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

2249114472 is a wasteful number, since it uses less digits than its factorization.

2249114472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6518 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2249114472 is about 47424.8296992198. The cubic root of 2249114472 is about 1310.1987678890.

It can be divided in two parts, 22491 and 14472, that added together give a palindrome (36963).

The spelling of 2249114472 in words is "two billion, two hundred forty-nine million, one hundred fourteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 149 198 216 264 297 298 396 447 594 596 792 894 1188 1192 1341 1639 1788 2376 2682 3278 3576 4023 4917 5364 6353 6556 8046 9834 10728 12706 13112 14751 16092 19059 19668 25412 29502 32184 38118 39336 44253 50824 57177 59004 69883 76236 88506 114354 118008 139766 152472 171531 177012 209649 228708 279532 343062 354024 419298 457416 559064 628947 686124 838596 946597 1257894 1372248 1677192 1886841 1893194 2515788 2839791 3773682 3786388 5031576 5679582 7547364 7572776 8519373 10412567 11359164 15094728 17038746 20825134 22718328 25558119 31237701 34077492 41650268 51116238 62475402 68154984 83300536 93713103 102232476 124950804 187426206 204464952 249901608 281139309 374852412 562278618 749704824 1124557236 2249114472