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467220534 = 23113725171
BaseRepresentation
bin11011110110010…
…011100000110110
31012120011021002020
4123312103200312
51424102024114
6114210054010
714402210664
oct3366234066
91176137066
10467220534
1121a808780
1211057a306
1375a48c71
14460a1c34
152b040aa9
hex1bd93836

467220534 has 48 divisors (see below), whose sum is σ = 1047888576. Its totient is φ = 137728800.

The previous prime is 467220521. The next prime is 467220569. The reversal of 467220534 is 435022764.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 467220495 and 467220504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87769 + ... + 92939.

It is an arithmetic number, because the mean of its divisors is an integer number (21831012).

Almost surely, 2467220534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467220534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523944288).

467220534 is an abundant number, since it is smaller than the sum of its proper divisors (580668042).

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

467220534 is a wasteful number, since it uses less digits than its factorization.

467220534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 467220534 is about 21615.2847309491. The cubic root of 467220534 is about 775.9623336573.

The spelling of 467220534 in words is "four hundred sixty-seven million, two hundred twenty thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 1369 2442 2738 4107 5171 8214 10342 15059 15513 30118 31026 45177 56881 90354 113762 170643 191327 341286 382654 573981 1147962 2104597 4209194 6313791 7079099 12627582 14158198 21237297 42474594 77870089 155740178 233610267 467220534