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2229870144 = 26317977043
BaseRepresentation
bin1000010011101001…
…0001111001000000
312202101220010210010
42010322101321000
514031321321034
61005133504520
7106154404065
oct20472217100
95671803703
102229870144
11a44781497
12522942140
13296c8c4b8
14172214c6c
15d0b6c3e9
hex84e91e40

2229870144 has 112 divisors (see below), whose sum is σ = 6312212928. Its totient is φ = 692256768.

The previous prime is 2229870143. The next prime is 2229870151. The reversal of 2229870144 is 4410789222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2229870143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313087 + ... + 320129.

It is an arithmetic number, because the mean of its divisors is an integer number (56359044).

Almost surely, 22229870144 is an apocalyptic number.

2229870144 is a gapful number since it is divisible by the number (24) 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 2229870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156106464).

2229870144 is an abundant number, since it is smaller than the sum of its proper divisors (4082342784).

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

2229870144 is a wasteful number, since it uses less digits than its factorization.

2229870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2229870144 is about 47221.5008656015. The cubic root of 2229870144 is about 1306.4511963649.

The spelling of 2229870144 in words is "two billion, two hundred twenty-nine million, eight hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 97 102 136 192 194 204 272 291 388 408 544 582 776 816 1088 1164 1552 1632 1649 2328 3104 3264 3298 4656 4947 6208 6596 7043 9312 9894 13192 14086 18624 19788 21129 26384 28172 39576 42258 52768 56344 79152 84516 105536 112688 119731 158304 169032 225376 239462 316608 338064 359193 450752 478924 676128 683171 718386 957848 1352256 1366342 1436772 1915696 2049513 2732684 2873544 3831392 4099026 5465368 5747088 7662784 8198052 10930736 11494176 11613907 16396104 21861472 22988352 23227814 32792208 34841721 43722944 46455628 65584416 69683442 92911256 131168832 139366884 185822512 278733768 371645024 557467536 743290048 1114935072 2229870144