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2212442424 = 2334171071877
BaseRepresentation
bin1000001111011111…
…0011000100111000
312201012002201110000
42003313303010320
514012341124144
61003312153000
7105553310313
oct20367630470
95635081400
102212442424
11a35958815
12518b38760
13293499b3a
1416db9997a
15ce378769
hex83df3138

2212442424 has 160 divisors (see below), whose sum is σ = 6626260080. Its totient is φ = 687246336.

The previous prime is 2212442411. The next prime is 2212442429. The reversal of 2212442424 is 4242442122.

2212442424 is a `hidden beast` number, since 2 + 212 + 4 + 424 + 24 = 666.

2212442424 is digitally balanced in base 2, 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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212442429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1177774 + ... + 1179650.

Almost surely, 22212442424 is an apocalyptic number.

2212442424 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 2212442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313130040).

2212442424 is an abundant number, since it is smaller than the sum of its proper divisors (4413817656).

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

2212442424 is a wasteful number, since it uses less digits than its factorization.

2212442424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2006 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 2212442424 is about 47036.6072756103. The cubic root of 2212442424 is about 1303.0387344582.

Adding to 2212442424 its reverse (4242442122), we get a palindrome (6454884546).

The spelling of 2212442424 in words is "two billion, two hundred twelve million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 107 108 136 153 162 204 214 216 306 321 324 408 428 459 612 642 648 856 918 963 1224 1284 1377 1819 1836 1877 1926 2568 2754 2889 3638 3672 3754 3852 5457 5508 5631 5778 7276 7508 7704 8667 10914 11016 11262 11556 14552 15016 16371 16893 17334 21828 22524 23112 31909 32742 33786 34668 43656 45048 49113 50679 63818 65484 67572 69336 95727 98226 101358 127636 130968 135144 147339 152037 191454 196452 200839 202716 255272 287181 294678 304074 382908 392904 401678 405432 574362 589356 602517 608148 765816 803356 861543 1148724 1178712 1205034 1216296 1606712 1723086 1807551 2297448 2410068 2584629 3414263 3446172 3615102 4820136 5169258 5422653 6828526 6892344 7230204 10242789 10338516 10845306 13657052 14460408 16267959 20485578 20677032 21690612 27314104 30728367 32535918 40971156 43381224 61456734 65071836 81942312 92185101 122913468 130143672 184370202 245826936 276555303 368740404 553110606 737480808 1106221212 2212442424