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2229066960 = 243523938861
BaseRepresentation
bin1000010011011100…
…1101110011010000
312202100101100000120
42010313031303100
514031120120320
61005104350240
7106144520331
oct20467156320
95670340016
102229066960
11a44282aaa
12522615380
13296a6aa43
14172086288
15d0a5e440
hex84dcdcd0

2229066960 has 80 divisors (see below), whose sum is σ = 6939198720. Its totient is φ = 591915520.

The previous prime is 2229066949. The next prime is 2229066971. The reversal of 2229066960 is 696609222.

It is an interprime number because it is at equal distance from previous prime (2229066949) and next prime (2229066971).

It is a tau number, because it is divible by the number of its divisors (80).

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, 37930 + ... + 76790.

It is an arithmetic number, because the mean of its divisors is an integer number (86739984).

Almost surely, 22229066960 is an apocalyptic number.

2229066960 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 2229066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469599360).

2229066960 is an abundant number, since it is smaller than the sum of its proper divisors (4710131760).

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

2229066960 is a wasteful number, since it uses less digits than its factorization.

2229066960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39116 (or 39110 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 2229066960 is about 47212.9956685657. The cubic root of 2229066960 is about 1306.2943192612.

The spelling of 2229066960 in words is "two billion, two hundred twenty-nine million, sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 9560 11472 14340 19120 28680 38861 57360 77722 116583 155444 194305 233166 310888 388610 466332 582915 621776 777220 932664 1165830 1554440 1865328 2331660 3108880 4663320 9287779 9326640 18575558 27863337 37151116 46438895 55726674 74302232 92877790 111453348 139316685 148604464 185755580 222906696 278633370 371511160 445813392 557266740 743022320 1114533480 2229066960