Search a number
-
+
2290231680 = 273511108439
BaseRepresentation
bin1000100010000010…
…0010100110000000
312220121110211020120
42020200202212000
514142244403210
61015131340240
7110516435202
oct21040424600
95817424216
102290231680
11a75859a60
1253abb1680
132a6634b99
1417a248772
15d60e2270
hex88822980

2290231680 has 128 divisors (see below), whose sum is σ = 7963833600. Its totient is φ = 555202560.

The previous prime is 2290231667. The next prime is 2290231711. The reversal of 2290231680 is 861320922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22902316802 = 10490322296151244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 33100 + ... + 75339.

It is an arithmetic number, because the mean of its divisors is an integer number (62217450).

Almost surely, 22290231680 is an apocalyptic number.

2290231680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2290231680 is an abundant number, since it is smaller than the sum of its proper divisors (5673601920).

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

2290231680 is a wasteful number, since it uses less digits than its factorization.

2290231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108472 (or 108460 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2290231680 is about 47856.3650938932. The cubic root of 2290231680 is about 1318.1347392230.

The spelling of 2290231680 in words is "two billion, two hundred ninety million, two hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 108439 216878 325317 433756 542195 650634 867512 1084390 1192829 1301268 1626585 1735024 2168780 2385658 2602536 3253170 3470048 3578487 4337560 4771316 5205072 5964145 6506340 6940096 7156974 8675120 9542632 10410144 11928290 13012680 13880192 14313948 17350240 17892435 19085264 20820288 23856580 26025360 28627896 34700480 35784870 38170528 41640576 47713160 52050720 57255792 69400960 71569740 76341056 95426320 104101440 114511584 143139480 152682112 190852640 208202880 229023168 286278960 381705280 458046336 572557920 763410560 1145115840 2290231680