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2241197136 = 2432197910369
BaseRepresentation
bin1000010110010101…
…1111010001010000
312210012012121111100
42011211133101100
514042221302021
61010220344400
7106352601303
oct20545372120
95705177440
102241197136
11a50108642
125266a5100
13299427069
14173922b3a
15d1b58626
hex8595f450

2241197136 has 120 divisors (see below), whose sum is σ = 6686576000. Its totient is φ = 698720256.

The previous prime is 2241197113. The next prime is 2241197183. The reversal of 2241197136 is 6317911422.

2241197136 is a `hidden beast` number, since 22 + 411 + 97 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2241197136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210960 + ... + 221328.

Almost surely, 22241197136 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 2241197136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343288000).

2241197136 is an abundant number, since it is smaller than the sum of its proper divisors (4445378864).

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

2241197136 is a wasteful number, since it uses less digits than its factorization.

2241197136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10481 (or 10472 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2241197136 is about 47341.2836327871. The cubic root of 2241197136 is about 1308.6595725186.

The spelling of 2241197136 in words is "two billion, two hundred forty-one million, one hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 79 114 144 152 158 171 228 237 304 316 342 456 474 632 684 711 912 948 1264 1368 1422 1501 1896 2736 2844 3002 3792 4503 5688 6004 9006 10369 11376 12008 13509 18012 20738 24016 27018 31107 36024 41476 54036 62214 72048 82952 93321 108072 124428 165904 186642 197011 216144 248856 373284 394022 497712 591033 746568 788044 819151 1182066 1493136 1576088 1638302 1773099 2364132 2457453 3152176 3276604 3546198 4728264 4914906 6553208 7092396 7372359 9456528 9829812 13106416 14184792 14744718 15563869 19659624 28369584 29489436 31127738 39319248 46691607 58978872 62255476 93383214 117957744 124510952 140074821 186766428 249021904 280149642 373532856 560299284 747065712 1120598568 2241197136