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214196424 = 2331319231571
BaseRepresentation
bin11001100010001…
…10000011001000
3112221001022020220
430301012003020
5414313241144
633130550040
75210432241
oct1461060310
9487038226
10214196424
11aa9a9a42
125b898320
13354b7c60
1420639cc8
1513c10919
hexcc460c8

214196424 has 128 divisors (see below), whose sum is σ = 633830400. Its totient is φ = 59685120.

The previous prime is 214196419. The next prime is 214196429. The reversal of 214196424 is 424691412.

It is an interprime number because it is at equal distance from previous prime (214196419) and next prime (214196429).

It is not an unprimeable number, because it can be changed into a prime (214196429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135559 + ... + 137129.

It is an arithmetic number, because the mean of its divisors is an integer number (4951800).

Almost surely, 2214196424 is an apocalyptic number.

214196424 is a gapful number since it is divisible by the number (24) 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 214196424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316915200).

214196424 is an abundant number, since it is smaller than the sum of its proper divisors (419633976).

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

214196424 is a wasteful number, since it uses less digits than its factorization.

214196424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1631 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 214196424 is about 14635.4509325815. The cubic root of 214196424 is about 598.3253524970.

The spelling of 214196424 in words is "two hundred fourteen million, one hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 19 23 24 26 38 39 46 52 57 69 76 78 92 104 114 138 152 156 184 228 247 276 299 312 437 456 494 552 598 741 874 897 988 1196 1311 1482 1571 1748 1794 1976 2392 2622 2964 3142 3496 3588 4713 5244 5681 5928 6284 7176 9426 10488 11362 12568 17043 18852 20423 22724 29849 34086 36133 37704 40846 45448 59698 61269 68172 72266 81692 89547 108399 119396 122538 136344 144532 163384 179094 216798 238792 245076 289064 358188 388037 433596 469729 490152 686527 716376 776074 867192 939458 1164111 1373054 1409187 1552148 1878916 2059581 2328222 2746108 2818374 3104296 3757832 4119162 4656444 5492216 5636748 8238324 8924851 9312888 11273496 16476648 17849702 26774553 35699404 53549106 71398808 107098212 214196424