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4402242216 = 233347433633
BaseRepresentation
bin1000001100110010…
…01110001010101000
3102100210121002001000
410012121032022220
533003433222331
62004455155000
7214043304261
oct40631161250
912323532030
104402242216
111959a50809
12a2a375a60
13552069768
142da93d968
151ab72d0e6
hex10664e2a8

4402242216 has 64 divisors (see below), whose sum is σ = 12488659200. Its totient is φ = 1436189184.

The previous prime is 4402242211. The next prime is 4402242227. The reversal of 4402242216 is 6122422044.

4402242216 is a `hidden beast` number, since 4 + 402 + 2 + 42 + 216 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4402242216.

It is not an unprimeable number, because it can be changed into a prime (4402242211) 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, 206665 + ... + 226968.

It is an arithmetic number, because the mean of its divisors is an integer number (195135300).

Almost surely, 24402242216 is an apocalyptic number.

It is an amenable number.

4402242216 is an abundant number, since it is smaller than the sum of its proper divisors (8086416984).

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

4402242216 is a wasteful number, since it uses less digits than its factorization.

4402242216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433695 (or 433685 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4402242216 is about 66349.3949934738. The cubic root of 4402242216 is about 1638.9208417002.

The spelling of 4402242216 in words is "four billion, four hundred two million, two hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 433633 867266 1300899 1734532 2601798 3469064 3902697 5203596 7805394 10407192 11708091 15610788 20380751 23416182 31221576 40761502 46832364 61142253 81523004 93664728 122284506 163046008 183426759 244569012 366853518 489138024 550280277 733707036 1100560554 1467414072 2201121108 4402242216