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2021234424 = 2331112975903
BaseRepresentation
bin111100001111001…
…1001011011111000
312012212022100101020
41320132121123320
513114414000144
6532322022440
7101042131506
oct17036313370
95185270336
102021234424
11947a30380
12484aa7a20
132629a0601
14152625676
15bc6a9419
hex787996f8

2021234424 has 64 divisors (see below), whose sum is σ = 5517642240. Its totient is φ = 611919360.

The previous prime is 2021234417. The next prime is 2021234429. The reversal of 2021234424 is 4244321202.

It is a super-3 number, since 3×20212344243 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2021234394 and 2021234403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021234429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339457 + ... + 345359.

It is an arithmetic number, because the mean of its divisors is an integer number (86213160).

Almost surely, 22021234424 is an apocalyptic number.

2021234424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2021234424 is an abundant number, since it is smaller than the sum of its proper divisors (3496407816).

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

2021234424 is a wasteful number, since it uses less digits than its factorization.

2021234424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7220 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2021234424 is about 44958.1407978577. The cubic root of 2021234424 is about 1264.3643114140.

Adding to 2021234424 its reverse (4244321202), we get a palindrome (6265555626).

The spelling of 2021234424 in words is "two billion, twenty-one million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1297 2594 3891 5188 5903 7782 10376 11806 14267 15564 17709 23612 28534 31128 35418 42801 47224 57068 64933 70836 85602 114136 129866 141672 171204 194799 259732 342408 389598 519464 779196 1558392 7656191 15312382 22968573 30624764 45937146 61249528 84218101 91874292 168436202 183748584 252654303 336872404 505308606 673744808 1010617212 2021234424