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2242429735 = 571322353311
BaseRepresentation
bin1000010110101000…
…1100001100100111
312210021112020022011
42011222030030213
514043030222420
61010303015051
7106366224010
oct20552141447
95707466264
102242429735
11a5087a717
12526b9a487
13299769100
14173b64007
15d1ced95a
hex85a8c327

2242429735 has 96 divisors (see below), whose sum is σ = 3551827968. Its totient is φ = 1327772160.

The previous prime is 2242429711. The next prime is 2242429757. The reversal of 2242429735 is 5379242422.

It is a de Polignac number, because none of the positive numbers 2k-2242429735 is a prime.

It is a super-2 number, since 2×22424297352 = 10056982232824340450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7210230 + ... + 7210540.

It is an arithmetic number, because the mean of its divisors is an integer number (36998208).

Almost surely, 22242429735 is an apocalyptic number.

2242429735 is a deficient number, since it is larger than the sum of its proper divisors (1309398233).

2242429735 is a wasteful number, since it uses less digits than its factorization.

2242429735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 2242429735 is about 47354.3000687372. The cubic root of 2242429735 is about 1308.8994379061.

The spelling of 2242429735 in words is "two billion, two hundred forty-two million, four hundred twenty-nine thousand, seven hundred thirty-five".

Divisors: 1 5 7 13 23 35 53 65 91 115 161 169 265 299 311 371 455 689 805 845 1183 1219 1495 1555 1855 2093 2177 3445 3887 4043 4823 5915 6095 7153 8533 8957 10465 10885 15847 16483 19435 20215 24115 27209 28301 35765 42665 44785 50071 52559 62699 79235 82415 92989 110929 115381 136045 141505 206011 214279 250355 262795 313495 367913 379109 464945 554645 576905 650923 1030055 1071395 1208857 1442077 1499953 1839565 1895545 2653763 2785627 3254615 4928417 6044285 7210385 7499765 8461999 13268815 13928135 19499389 24642085 34498919 42309995 64069421 97496945 172494595 320347105 448485947 2242429735