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30219392 = 277291163
BaseRepresentation
bin111001101000…
…1110010000000
32002212022012202
41303101302000
530214010032
62555412332
7514601120
oct163216200
962768182
1030219392
1116070305
12a1540a8
136350ac8
144028c80
1529bdd62
hex1cd1c80

30219392 has 64 divisors (see below), whose sum is σ = 71236800. Its totient is φ = 12493824.

The previous prime is 30219383. The next prime is 30219433. The reversal of 30219392 is 29391203.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25403 + ... + 26565.

It is an arithmetic number, because the mean of its divisors is an integer number (1113075).

Almost surely, 230219392 is an apocalyptic number.

30219392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30219392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35618400).

30219392 is an abundant number, since it is smaller than the sum of its proper divisors (41017408).

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

30219392 is a wasteful number, since it uses less digits than its factorization.

30219392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 30219392 is about 5497.2167503201. The cubic root of 30219392 is about 311.4788582570.

The spelling of 30219392 in words is "thirty million, two hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1163 1624 1856 2326 3248 3712 4652 6496 8141 9304 12992 16282 18608 25984 32564 33727 37216 65128 67454 74432 130256 134908 148864 236089 260512 269816 472178 521024 539632 944356 1042048 1079264 1888712 2158528 3777424 4317056 7554848 15109696 30219392