Search a number
-
+
2190470280 = 2335157233499
BaseRepresentation
bin1000001010001111…
…1110110010001000
312122122202102022220
42002203332302020
513441230022110
61001205214040
7105165455505
oct20243766210
95578672286
102190470280
11a24510819
12511701320
1328ba75b7b
1416acba4ac
15cc488370
hex828fec88

2190470280 has 128 divisors (see below), whose sum is σ = 6654960000. Its totient is φ = 576755712.

The previous prime is 2190470273. The next prime is 2190470287. The reversal of 2190470280 is 820740912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2190470273) and next prime (2190470287).

It is not an unprimeable number, because it can be changed into a prime (2190470287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4389471 + ... + 4389969.

It is an arithmetic number, because the mean of its divisors is an integer number (51991875).

Almost surely, 22190470280 is an apocalyptic number.

2190470280 is a gapful number since it is divisible by the number (20) 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 2190470280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327480000).

2190470280 is an abundant number, since it is smaller than the sum of its proper divisors (4464489720).

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

2190470280 is a wasteful number, since it uses less digits than its factorization.

2190470280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2190470280 is about 46802.4601917463. The cubic root of 2190470280 is about 1298.7108087352.

The spelling of 2190470280 in words is "two billion, one hundred ninety million, four hundred seventy thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 233 314 466 471 499 628 699 785 932 942 998 1165 1256 1398 1497 1570 1864 1884 1996 2330 2355 2495 2796 2994 3140 3495 3768 3992 4660 4710 4990 5592 5988 6280 6990 7485 9320 9420 9980 11976 13980 14970 18840 19960 27960 29940 36581 59880 73162 78343 109743 116267 146324 156686 182905 219486 232534 235029 292648 313372 348801 365810 391715 438972 465068 470058 548715 581335 626744 697602 731620 783430 877944 930136 940116 1097430 1162670 1175145 1395204 1463240 1566860 1744005 1880232 2194860 2325340 2350290 2790408 3133720 3488010 4389720 4650680 4700580 6976020 9401160 13952040 18253919 36507838 54761757 73015676 91269595 109523514 146031352 182539190 219047028 273808785 365078380 438094056 547617570 730156760 1095235140 2190470280