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1222095264 = 253132933767
BaseRepresentation
bin100100011010111…
…1011000110100000
310011011120212112120
41020311323012200
510000324022024
6321133424240
742166431645
oct11065730640
93134525476
101222095264
11577928295
122a133b080
1316625c4c0
14b8441dcc
1572452479
hex48d7b1a0

1222095264 has 96 divisors (see below), whose sum is σ = 3574005120. Its totient is φ = 363052032.

The previous prime is 1222095187. The next prime is 1222095283. The reversal of 1222095264 is 4625902221.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19309 + ... + 53075.

It is an arithmetic number, because the mean of its divisors is an integer number (37229220).

Almost surely, 21222095264 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 1222095264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787002560).

1222095264 is an abundant number, since it is smaller than the sum of its proper divisors (2351909856).

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

1222095264 is a wasteful number, since it uses less digits than its factorization.

1222095264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33822 (or 33814 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1222095264 is about 34958.4791431206. The cubic root of 1222095264 is about 1069.1410884571.

Adding to 1222095264 its reverse (4625902221), we get a palindrome (5847997485).

The spelling of 1222095264 in words is "one billion, two hundred twenty-two million, ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1131 1248 1392 1508 2262 2784 3016 4524 6032 9048 12064 18096 33767 36192 67534 101301 135068 202602 270136 405204 438971 540272 810408 877942 979243 1080544 1316913 1620816 1755884 1958486 2633826 2937729 3241632 3511768 3916972 5267652 5875458 7023536 7833944 10535304 11750916 12730159 14047072 15667888 21070608 23501832 25460318 31335776 38190477 42141216 47003664 50920636 76380954 94007328 101841272 152761908 203682544 305523816 407365088 611047632 1222095264