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2190075192 = 233361359463
BaseRepresentation
bin1000001010001001…
…1110010100111000
312122122000100101000
42002202132110320
513441124401232
61001152525000
7105162221604
oct20242362470
95578010330
102190075192
11a242709a8
12511550760
1328b9680a6
1416ac16504
15cc40b27c
hex8289e538

2190075192 has 128 divisors (see below), whose sum is σ = 6213888000. Its totient is φ = 714510720.

The previous prime is 2190075191. The next prime is 2190075227. The reversal of 2190075192 is 2915700912.

It is a super-2 number, since 2×21900751922 = 9592858693227673728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190075191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4729953 + ... + 4730415.

It is an arithmetic number, because the mean of its divisors is an integer number (48546000).

Almost surely, 22190075192 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 2190075192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106944000).

2190075192 is an abundant number, since it is smaller than the sum of its proper divisors (4023812808).

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

2190075192 is a wasteful number, since it uses less digits than its factorization.

2190075192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 2190075192 is about 46798.2391976450. The cubic root of 2190075192 is about 1298.6327226255.

The spelling of 2190075192 in words is "two billion, one hundred ninety million, seventy-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 359 366 463 488 549 718 732 926 1077 1098 1389 1436 1464 1647 1852 2154 2196 2778 2872 3231 3294 3704 4167 4308 4392 5556 6462 6588 8334 8616 9693 11112 12501 12924 13176 16668 19386 21899 25002 25848 28243 33336 38772 43798 50004 56486 65697 77544 84729 87596 100008 112972 131394 166217 169458 175192 197091 225944 254187 262788 332434 338916 394182 498651 508374 525576 591273 664868 677832 762561 788364 997302 1016748 1182546 1329736 1495953 1525122 1576728 1994604 2033496 2365092 2991906 3050244 3989208 4487859 4730184 5983812 6100488 8975718 10139237 11967624 17951436 20278474 30417711 35902872 40556948 60835422 81113896 91253133 121670844 182506266 243341688 273759399 365012532 547518798 730025064 1095037596 2190075192