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2136204252 = 223571324151
BaseRepresentation
bin111111101010011…
…1110001111011100
312111212122102100000
41333110332033130
513333332014002
6551550134300
7103636302510
oct17724761734
95455572300
102136204252
119a6916966
124b74b1390
13280755ab0
141639d2140
15c781961c
hex7f53e3dc

2136204252 has 144 divisors (see below), whose sum is σ = 6892401152. Its totient is φ = 563371200.

The previous prime is 2136204247. The next prime is 2136204253. The reversal of 2136204252 is 2524026312.

It is a happy number.

2136204252 is a `hidden beast` number, since 2 + 13 + 620 + 4 + 25 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136204253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76377 + ... + 100527.

Almost surely, 22136204252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136204252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446200576).

2136204252 is an abundant number, since it is smaller than the sum of its proper divisors (4756196900).

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

2136204252 is a wasteful number, since it uses less digits than its factorization.

2136204252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24190 (or 24176 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2136204252 is about 46219.0896924637. The cubic root of 2136204252 is about 1287.8963876054.

The spelling of 2136204252 in words is "two billion, one hundred thirty-six million, two hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 14742 22113 24151 29484 44226 48302 72453 88452 96604 144906 169057 217359 289812 313963 338114 434718 507171 627926 652077 676228 869436 941889 1014342 1255852 1304154 1521513 1883778 1956231 2028684 2197741 2608308 2825667 3043026 3767556 3912462 4395482 4564539 5651334 5868693 6086052 6593223 7824924 8477001 8790964 9129078 11302668 11737386 13186446 13693617 16954002 18258156 19779669 23474772 25431003 26372892 27387234 33908004 39559338 41080851 50862006 54774468 59339007 76293009 79118676 82161702 101724012 118678014 152586018 164323404 178017021 237356028 305172036 356034042 534051063 712068084 1068102126 2136204252