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2243431320 = 2335131438097
BaseRepresentation
bin1000010110111000…
…0000101110011000
312210100102010012220
42011232000232120
514043304300240
61010340304040
7106410565044
oct20556005630
95710363186
102243431320
11a513a4179
125273a2020
13299a29c70
14173d45024
15d1e4a5d0
hex85b80b98

2243431320 has 64 divisors (see below), whose sum is σ = 7248013920. Its totient is φ = 552228864.

The previous prime is 2243431313. The next prime is 2243431321. The reversal of 2243431320 is 231343422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243431321) 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, 717489 + ... + 720608.

Almost surely, 22243431320 is an apocalyptic number.

2243431320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243431320 is an abundant number, since it is smaller than the sum of its proper divisors (5004582600).

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

2243431320 is a wasteful number, since it uses less digits than its factorization.

2243431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438124 (or 1438120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2243431320 is about 47364.8743268680. The cubic root of 2243431320 is about 1309.0942829423.

Adding to 2243431320 its reverse (231343422), we get a palindrome (2474774742).

The spelling of 2243431320 in words is "two billion, two hundred forty-three million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1438097 2876194 4314291 5752388 7190485 8628582 11504776 14380970 17257164 18695261 21571455 28761940 34514328 37390522 43142910 56085783 57523880 74781044 86285820 93476305 112171566 149562088 172571640 186952610 224343132 280428915 373905220 448686264 560857830 747810440 1121715660 2243431320