Search a number
-
+
2188274688 = 210321912497
BaseRepresentation
bin1000001001101110…
…0110110000000000
312122111121212112200
42002123212300000
513440144242223
61001050153200
7105141012405
oct20233466000
95574555480
102188274688
11a23251186
12510a22800
1328b4876c2
1416a8a82ac
15cc1a2a43
hex826e6c00

2188274688 has 132 divisors (see below), whose sum is σ = 6651685560. Its totient is φ = 690978816.

The previous prime is 2188274651. The next prime is 2188274689. The reversal of 2188274688 is 8864728812.

It is a super-2 number, since 2×21882746882 = 9577092220282994688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2188274689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168856 + ... + 181352.

Almost surely, 22188274688 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 2188274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325842780).

2188274688 is an abundant number, since it is smaller than the sum of its proper divisors (4463410872).

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

2188274688 is a wasteful number, since it uses less digits than its factorization.

2188274688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12542 (or 12521 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 2188274688 is about 46778.9983646508. The cubic root of 2188274688 is about 1298.2767478670.

The spelling of 2188274688 in words is "two billion, one hundred eighty-eight million, two hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2304 2432 2736 3072 3648 4608 4864 5472 7296 9216 9728 10944 12497 14592 19456 21888 24994 29184 37491 43776 49988 58368 74982 87552 99976 112473 149964 175104 199952 224946 237443 299928 399904 449892 474886 599856 712329 799808 899784 949772 1199712 1424658 1599616 1799568 1899544 2136987 2399424 2849316 3199232 3599136 3799088 4273974 4798848 5698632 6398464 7198272 7598176 8547948 9597696 11397264 12796928 14396544 15196352 17095896 19195392 22794528 28793088 30392704 34191792 38390784 45589056 57586176 60785408 68383584 91178112 115172352 121570816 136767168 182356224 243141632 273534336 364712448 547068672 729424896 1094137344 2188274688