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4244022024 = 2331173220217
BaseRepresentation
bin1111110011110110…
…1010001100001000
3101221202212122201220
43330331222030020
532142432201044
61541044042040
7210112410024
oct37475521410
911852778656
104244022024
111888704620
129a5393320
13528350148
142c3915384
1519c8c8019
hexfcf6a308

4244022024 has 64 divisors (see below), whose sum is σ = 11733215040. Its totient is φ = 1268444160.

The previous prime is 4244022019. The next prime is 4244022037. The reversal of 4244022024 is 4202204424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4244021985 and 4244022003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90837 + ... + 129380.

It is an arithmetic number, because the mean of its divisors is an integer number (183331485).

Almost surely, 24244022024 is an apocalyptic number.

4244022024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4244022024 is an abundant number, since it is smaller than the sum of its proper divisors (7489193016).

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

4244022024 is a wasteful number, since it uses less digits than its factorization.

4244022024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220310 (or 220306 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4244022024 is about 65146.1589351206. The cubic root of 4244022024 is about 1619.0460806854.

Adding to 4244022024 its reverse (4202204424), we get a palindrome (8446226448).

It can be divided in two parts, 424402 and 2024, that added together give a triangular number (426426 = T923).

The spelling of 4244022024 in words is "four billion, two hundred forty-four million, twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 19272 220217 440434 660651 880868 1321302 1761736 2422387 2642604 4844774 5285208 7267161 9689548 14534322 16075841 19379096 29068644 32151682 48227523 58137288 64303364 96455046 128606728 176834251 192910092 353668502 385820184 530502753 707337004 1061005506 1414674008 2122011012 4244022024