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8227332 = 223467379
BaseRepresentation
bin11111011000101000000100
3120110222210000
4133120220010
54101233312
6452201300
7126634251
oct37305004
916428700
108227332
11470a353
122909230
131920a59
141142428
15ac7adc
hex7d8a04

8227332 has 60 divisors (see below), whose sum is σ = 21886480. Its totient is φ = 2694384.

The previous prime is 8227321. The next prime is 8227339. The reversal of 8227332 is 2337228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8227296 and 8227305.

It is not an unprimeable number, because it can be changed into a prime (8227339) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21519 + ... + 21897.

Almost surely, 28227332 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 8227332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10943240).

8227332 is an abundant number, since it is smaller than the sum of its proper divisors (13659148).

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

8227332 is a wasteful number, since it uses less digits than its factorization.

8227332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 8227332 is about 2868.3326166956. The cubic root of 8227332 is about 201.8767669749.

The spelling of 8227332 in words is "eight million, two hundred twenty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 379 402 603 758 804 1137 1206 1516 1809 2274 2412 3411 3618 4548 5427 6822 7236 10233 10854 13644 20466 21708 25393 30699 40932 50786 61398 76179 101572 122796 152358 228537 304716 457074 685611 914148 1371222 2056833 2742444 4113666 8227332