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9218313144 = 2332196738533
BaseRepresentation
bin10001001010111010…
…00100101110111000
3212210102212211100100
420211131010232320
5122334342010034
64122420235400
7444303240345
oct104535045670
925712784310
109218313144
113a00552117
12195323bb60
13b3ba79c81
146364037cc
1538e452099
hex225744bb8

9218313144 has 48 divisors (see below), whose sum is σ = 26280282600. Its totient is φ = 2911045824.

The previous prime is 9218313119. The next prime is 9218313149. The reversal of 9218313144 is 4413138129.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9218313099 and 9218313108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9218313149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3367899 + ... + 3370634.

Almost surely, 29218313144 is an apocalyptic number.

It is an amenable number.

9218313144 is an abundant number, since it is smaller than the sum of its proper divisors (17061969456).

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

9218313144 is a wasteful number, since it uses less digits than its factorization.

9218313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738564 (or 6738557 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 9218313144 is about 96012.0468691299. The cubic root of 9218313144 is about 2096.7685101911.

The spelling of 9218313144 in words is "nine billion, two hundred eighteen million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 6738533 13477066 20215599 26954132 40431198 53908264 60646797 80862396 121293594 128032127 161724792 242587188 256064254 384096381 485174376 512128508 768192762 1024257016 1152289143 1536385524 2304578286 3072771048 4609156572 9218313144