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84223552 = 2672107251
BaseRepresentation
bin1010000010100…
…10011001000000
312212110222222211
411001102121000
5133030123202
612205111504
72041613500
oct501223100
9185428884
1084223552
11435a6446
1224258594
13145ab92a
14b285a00
1575da1d7
hex5052640

84223552 has 84 divisors (see below), whose sum is σ = 197016624. Its totient is φ = 35616000.

The previous prime is 84223547. The next prime is 84223613. The reversal of 84223552 is 25532248.

It is a super-2 number, since 2×842235522 = 14187213422993408, which contains 22 as substring.

Its product of digits (19200) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335427 + ... + 335677.

It is an arithmetic number, because the mean of its divisors is an integer number (2345436).

Almost surely, 284223552 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 84223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98508312).

84223552 is an abundant number, since it is smaller than the sum of its proper divisors (112793072).

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

84223552 is a wasteful number, since it uses less digits than its factorization.

84223552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 367 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The square root of 84223552 is about 9177.3390478940. The cubic root of 84223552 is about 438.3400818532.

The spelling of 84223552 in words is "eighty-four million, two hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 107 112 196 214 224 251 392 428 448 502 749 784 856 1004 1498 1568 1712 1757 2008 2996 3136 3424 3514 4016 5243 5992 6848 7028 8032 10486 11984 12299 14056 16064 20972 23968 24598 26857 28112 41944 47936 49196 53714 56224 83888 98392 107428 112448 167776 187999 196784 214856 335552 375998 393568 429712 751996 787136 859424 1315993 1503992 1718848 2631986 3007984 5263972 6015968 10527944 12031936 21055888 42111776 84223552