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2229002292 = 22311291135153
BaseRepresentation
bin1000010011011011…
…1110000000110100
312202100021001022110
42010312332000310
514031111033132
61005103131020
7106144130646
oct20466760064
95670231273
102229002292
11a44239460
125225a3a70
13296a4748a
1417206a896
15d0a4a1cc
hex84dbe034

2229002292 has 96 divisors (see below), whose sum is σ = 5922564480. Its totient is φ = 646266880.

The previous prime is 2229002261. The next prime is 2229002299. The reversal of 2229002292 is 2922009222.

It is a super-3 number, since 3×22290022923 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229002299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429988 + ... + 435140.

It is an arithmetic number, because the mean of its divisors is an integer number (61693380).

Almost surely, 22229002292 is an apocalyptic number.

2229002292 is a gapful number since it is divisible by the number (22) 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 2229002292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961282240).

2229002292 is an abundant number, since it is smaller than the sum of its proper divisors (3693562188).

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

2229002292 is a wasteful number, since it uses less digits than its factorization.

2229002292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2229002292 is about 47212.3108097877. The cubic root of 2229002292 is about 1306.2816867324.

The spelling of 2229002292 in words is "two billion, two hundred twenty-nine million, two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 113 116 132 174 226 319 339 348 452 638 678 957 1243 1276 1356 1914 2486 3277 3729 3828 4972 5153 6554 7458 9831 10306 13108 14916 15459 19662 20612 30918 36047 39324 56683 61836 72094 108141 113366 144188 149437 170049 216282 226732 298874 340098 432564 448311 582289 597748 680196 896622 1164578 1643807 1746867 1793244 2329156 3287614 3493734 4931421 6405179 6575228 6987468 9862842 12810358 16886381 19215537 19725684 25620716 33772762 38431074 50659143 67545524 76862148 101318286 185750191 202636572 371500382 557250573 743000764 1114501146 2229002292