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2229572916 = 22321719918307
BaseRepresentation
bin1000010011100100…
…1001010100110100
312202101100001001200
42010321021110310
514031232313131
61005123252500
7106152025404
oct20471112464
95671301050
102229572916
11a4459914a
1252281a130
13296bb711c
14172178804
15d0b0e2e6
hex84e49534

2229572916 has 72 divisors (see below), whose sum is σ = 5997700800. Its totient is φ = 695920896.

The previous prime is 2229572903. The next prime is 2229572921. The reversal of 2229572916 is 6192759222.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 112635 + ... + 130941.

It is an arithmetic number, because the mean of its divisors is an integer number (83301400).

Almost surely, 22229572916 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 2229572916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998850400).

2229572916 is an abundant number, since it is smaller than the sum of its proper divisors (3768127884).

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

2229572916 is a wasteful number, since it uses less digits than its factorization.

2229572916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18533 (or 18528 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2229572916 is about 47218.3535926445. The cubic root of 2229572916 is about 1306.3931464777.

The spelling of 2229572916 in words is "two billion, two hundred twenty-nine million, five hundred seventy-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 199 204 306 398 597 612 796 1194 1791 2388 3383 3582 6766 7164 10149 13532 18307 20298 30447 36614 40596 54921 60894 73228 109842 121788 164763 219684 311219 329526 622438 659052 933657 1244876 1867314 2800971 3643093 3734628 5601942 7286186 10929279 11203884 14572372 21858558 32787837 43717116 61932581 65575674 123865162 131151348 185797743 247730324 371595486 557393229 743190972 1114786458 2229572916