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2226640896 = 211321071129
BaseRepresentation
bin1000010010110111…
…1101100000000000
312202011211002002100
42010231331200000
514030010002041
61004540350400
7106115064264
oct20455754000
95664732070
102226640896
11a42976297
12521845400
132963cb6bc
14171a140a4
15d07306b6
hex84b7d800

2226640896 has 144 divisors (see below), whose sum is σ = 6496799400. Its totient is φ = 734625792.

The previous prime is 2226640883. The next prime is 2226640903. The reversal of 2226640896 is 6980466222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1971660 + ... + 1972788.

Almost surely, 22226640896 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 2226640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248399700).

2226640896 is an abundant number, since it is smaller than the sum of its proper divisors (4270158504).

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

2226640896 is a wasteful number, since it uses less digits than its factorization.

2226640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2226640896 is about 47187.2959174395. The cubic root of 2226640896 is about 1305.8202338976.

The spelling of 2226640896 in words is "two billion, two hundred twenty-six million, six hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1024 1129 1152 1284 1536 1712 1926 2048 2258 2304 2568 3072 3387 3424 3852 4516 4608 5136 6144 6774 6848 7704 9032 9216 10161 10272 13548 13696 15408 18064 18432 20322 20544 27096 27392 30816 36128 40644 41088 54192 54784 61632 72256 81288 82176 108384 109568 120803 123264 144512 162576 164352 216768 219136 241606 246528 289024 325152 328704 362409 433536 483212 493056 578048 650304 657408 724818 867072 966424 986112 1087227 1156096 1300608 1449636 1734144 1932848 1972224 2174454 2312192 2601216 2899272 3468288 3865696 4348908 5202432 5798544 6936576 7731392 8697816 10404864 11597088 15462784 17395632 20809728 23194176 30925568 34791264 46388352 61851136 69582528 92776704 123702272 139165056 185553408 247404544 278330112 371106816 556660224 742213632 1113320448 2226640896