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2293288752 = 243194161331
BaseRepresentation
bin1000100010110000…
…1100111100110000
312220211020010202110
42020230030330300
514144040220002
61015321045320
7110554430016
oct21054147460
95824203673
102293288752
11a77557867
12540026840
132a71654c1
1417a8028b6
15d64e7e6c
hex88b0cf30

2293288752 has 80 divisors (see below), whose sum is σ = 6388341120. Its totient is φ = 706521600.

The previous prime is 2293288691. The next prime is 2293288757. The reversal of 2293288752 is 2578823922.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2293288757) 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 15 ways as a sum of consecutive naturals, for example, 6727 + ... + 68057.

It is an arithmetic number, because the mean of its divisors is an integer number (79854264).

Almost surely, 22293288752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293288752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194170560).

2293288752 is an abundant number, since it is smaller than the sum of its proper divisors (4095052368).

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

2293288752 is a wasteful number, since it uses less digits than its factorization.

2293288752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61402 (or 61396 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 2293288752 is about 47888.2945196423. The cubic root of 2293288752 is about 1318.7209741161.

The spelling of 2293288752 in words is "two billion, two hundred ninety-three million, two hundred eighty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1558 1968 2337 3116 4674 6232 9348 12464 18696 37392 61331 122662 183993 245324 367986 490648 735972 981296 1165289 1471944 2330578 2514571 2943888 3495867 4661156 5029142 6991734 7543713 9322312 10058284 13983468 15087426 18644624 20116568 27966936 30174852 40233136 47776849 55933872 60349704 95553698 120699408 143330547 191107396 286661094 382214792 573322188 764429584 1146644376 2293288752