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202940424 = 23331723251
BaseRepresentation
bin11000001100010…
…10000000001000
3112010212102221000
430012022000020
5403423043144
632045415000
75012652021
oct1406120010
9463772830
10202940424
11a4611165
1257b6a460
13330767bb
141cd49c48
1512c3a769
hexc18a008

202940424 has 96 divisors (see below), whose sum is σ = 599018400. Its totient is φ = 63648000.

The previous prime is 202940371. The next prime is 202940443. The reversal of 202940424 is 424049202.

202940424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60799 + ... + 64049.

It is an arithmetic number, because the mean of its divisors is an integer number (6239775).

Almost surely, 2202940424 is an apocalyptic number.

202940424 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 202940424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299509200).

202940424 is an abundant number, since it is smaller than the sum of its proper divisors (396077976).

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

202940424 is a wasteful number, since it uses less digits than its factorization.

202940424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 202940424 is about 14245.7159876224. The cubic root of 202940424 is about 587.6555667102.

Adding to 202940424 its reverse (424049202), we get a palindrome (626989626).

The spelling of 202940424 in words is "two hundred two million, nine hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 867 918 1156 1224 1734 1836 2312 2601 3251 3468 3672 5202 6502 6936 7803 9753 10404 13004 15606 19506 20808 26008 29259 31212 39012 55267 58518 62424 78024 87777 110534 117036 165801 175554 221068 234072 331602 351108 442136 497403 663204 702216 939539 994806 1326408 1492209 1879078 1989612 2818617 2984418 3758156 3979224 5637234 5968836 7516312 8455851 11274468 11937672 16911702 22548936 25367553 33823404 50735106 67646808 101470212 202940424