Search a number
-
+
2170012152 = 2337113137879
BaseRepresentation
bin1000000101010111…
…1100000111111000
312121020021001001110
42001111330013320
513421010342102
6555154520320
7104526541020
oct20125740770
95536231043
102170012152
11a13a08280
125068960a0
13287762079
141682b2a80
15ca79686c
hex8157c1f8

2170012152 has 128 divisors (see below), whose sum is σ = 6982041600. Its totient is φ = 545443200.

The previous prime is 2170012093. The next prime is 2170012177. The reversal of 2170012152 is 2512100712.

It is a super-2 number, since 2×21700121522 = 9417905479655342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38349 + ... + 76227.

It is an arithmetic number, because the mean of its divisors is an integer number (54547200).

Almost surely, 22170012152 is an apocalyptic number.

2170012152 is a gapful number since it is divisible by the number (22) 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 2170012152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491020800).

2170012152 is an abundant number, since it is smaller than the sum of its proper divisors (4812029448).

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

2170012152 is a wasteful number, since it uses less digits than its factorization.

2170012152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37937 (or 37933 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 2170012152 is about 46583.3892283505. The cubic root of 2170012152 is about 1294.6550070607.

Adding to 2170012152 its reverse (2512100712), we get a palindrome (4682112864).

The spelling of 2170012152 in words is "two billion, one hundred seventy million, twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 31 33 42 44 56 62 66 77 84 88 93 124 132 154 168 186 217 231 248 264 308 341 372 434 462 616 651 682 744 868 924 1023 1302 1364 1736 1848 2046 2387 2604 2728 4092 4774 5208 7161 8184 9548 14322 19096 28644 37879 57288 75758 113637 151516 227274 265153 303032 416669 454548 530306 795459 833338 909096 1060612 1174249 1250007 1590918 1666676 2121224 2348498 2500014 2916683 3181836 3333352 3522747 4696996 5000028 5833366 6363672 7045494 8219743 8750049 9393992 10000056 11666732 12916739 14090988 16439486 17500098 23333464 24659229 25833478 28181976 32878972 35000196 38750217 49318458 51666956 65757944 70000392 77500434 90417173 98636916 103333912 155000868 180834346 197273832 271251519 310001736 361668692 542503038 723337384 1085006076 2170012152