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2292051216 = 2437133116927
BaseRepresentation
bin1000100010011101…
…1110110100010000
312220201220021011210
42020213132310100
514143231114331
61015234340120
7110541054030
oct21047366420
95821807153
102292051216
11a76892004
1253b72a640
132a6b21130
1417a59d8c0
15d6351446
hex889ded10

2292051216 has 160 divisors (see below), whose sum is σ = 7523074048. Its totient is φ = 584962560.

The previous prime is 2292051137. The next prime is 2292051283. The reversal of 2292051216 is 6121502922.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126945 + ... + 143871.

Almost surely, 22292051216 is an apocalyptic number.

2292051216 is a gapful number since it is divisible by the number (26) 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 2292051216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761537024).

2292051216 is an abundant number, since it is smaller than the sum of its proper divisors (5231022832).

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

2292051216 is a wasteful number, since it uses less digits than its factorization.

2292051216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16989 (or 16983 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2292051216 is about 47875.3717061288. The cubic root of 2292051216 is about 1318.4837226550.

The spelling of 2292051216 in words is "two billion, two hundred ninety-two million, fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 16926 16927 19344 22568 33852 33854 45136 50781 67704 67708 101562 118489 135408 135416 203124 220051 236978 270832 355467 406248 440102 473956 524737 660153 710934 812496 880204 947912 1049474 1320306 1421868 1540357 1574211 1760408 1895824 2098948 2640612 2843736 3080714 3148422 3520816 3673159 4197896 4621071 5281224 5687472 6161428 6296844 6821581 7346318 8395792 9242142 10562448 11019477 12322856 12593688 13643162 14692636 18484284 20464743 22038954 24645712 25187376 27286324 29385272 36968568 40929486 44077908 47751067 54572648 58770544 73937136 81858972 88155816 95502134 109145296 143253201 163717944 176311632 191004268 286506402 327435888 382008536 573012804 764017072 1146025608 2292051216