Search a number
-
+
30219156 = 22341161139
BaseRepresentation
bin111001101000…
…1101110010100
32002212021220000
41303101232110
530214003111
62555411300
7514600332
oct163215624
962767800
1030219156
1116070110
12a153b30
136350976
144028b52
1529bdc56
hex1cd1b94

30219156 has 120 divisors (see below), whose sum is σ = 88223520. Its totient is φ = 8942400.

The previous prime is 30219113. The next prime is 30219157. The reversal of 30219156 is 65191203.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30219157) 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 39 ways as a sum of consecutive naturals, for example, 217335 + ... + 217473.

It is an arithmetic number, because the mean of its divisors is an integer number (735196).

Almost surely, 230219156 is an apocalyptic number.

30219156 is a gapful number since it is divisible by the number (36) 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 30219156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44111760).

30219156 is an abundant number, since it is smaller than the sum of its proper divisors (58004364).

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

30219156 is a wasteful number, since it uses less digits than its factorization.

30219156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 30219156 is about 5497.1952848703. The cubic root of 30219156 is about 311.4780474178.

The spelling of 30219156 in words is "thirty million, two hundred nineteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 81 99 108 122 132 139 162 183 198 244 278 297 324 366 396 417 549 556 594 671 732 834 891 1098 1188 1251 1342 1529 1647 1668 1782 2013 2196 2502 2684 3058 3294 3564 3753 4026 4587 4941 5004 6039 6116 6588 7506 8052 8479 9174 9882 11259 12078 13761 15012 16958 18117 18348 19764 22518 24156 25437 27522 33916 36234 41283 45036 50874 54351 55044 72468 76311 82566 93269 101748 108702 123849 152622 165132 186538 217404 228933 247698 279807 305244 373076 457866 495396 559614 686799 839421 915732 1119228 1373598 1678842 2518263 2747196 3357684 5036526 7554789 10073052 15109578 30219156