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2242434402 = 2331317414583
BaseRepresentation
bin1000010110101000…
…1101010101100010
312210021112110201000
42011222031111202
514043030400102
61010303052430
7106366243425
oct20552152542
95707473630
102242434402
11a5088317a
12526ba1116
1329976b280
14173b659bc
15d1d0001c
hex85a8d562

2242434402 has 128 divisors (see below), whose sum is σ = 5822046720. Its totient is φ = 633415680.

The previous prime is 2242434373. The next prime is 2242434407. The reversal of 2242434402 is 2044342422.

2242434402 is a `hidden beast` number, since 224 + 2 + 4 + 34 + 402 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2242434407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487003 + ... + 491585.

It is an arithmetic number, because the mean of its divisors is an integer number (45484740).

Almost surely, 22242434402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242434402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911023360).

2242434402 is an abundant number, since it is smaller than the sum of its proper divisors (3579612318).

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

2242434402 is a wasteful number, since it uses less digits than its factorization.

2242434402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2242434402 is about 47354.3493461794. The cubic root of 2242434402 is about 1308.9003459434.

Adding to 2242434402 its reverse (2044342422), we get a palindrome (4286776824).

The spelling of 2242434402 in words is "two billion, two hundred forty-two million, four hundred thirty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 41 51 54 78 82 102 117 123 153 221 234 246 306 351 369 442 459 533 663 697 702 738 918 1066 1107 1326 1394 1599 1989 2091 2214 3198 3978 4182 4583 4797 5967 6273 9061 9166 9594 11934 12546 13749 14391 18122 18819 27183 27498 28782 37638 41247 54366 59579 77911 81549 82494 119158 123741 155822 163098 178737 187903 233733 244647 247482 357474 375806 467466 489294 536211 563709 701199 1012843 1072422 1127418 1402398 1608633 1691127 2025686 2103597 2442739 3038529 3194351 3217266 3382254 4207194 4885478 5073381 6077058 6388702 7328217 9115587 9583053 10146762 14656434 18231174 19166106 21984651 27346761 28749159 41526563 43969302 54693522 57498318 65953953 83053126 86247477 124579689 131907906 172494954 249159378 373739067 747478134 1121217201 2242434402