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2229940860 = 2235713938197
BaseRepresentation
bin1000010011101010…
…0011001001111100
312202102000201210020
42010322203021330
514031331101420
61005135212140
7106155120210
oct20472431174
95672021706
102229940860
11a4481a634
12522977050
13296cb5744
14172232940
15d0b83340
hex84ea327c

2229940860 has 96 divisors (see below), whose sum is σ = 7187335680. Its totient is φ = 506020608.

The previous prime is 2229940849. The next prime is 2229940861. The reversal of 2229940860 is 680499222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229940861) 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, 39282 + ... + 77478.

It is an arithmetic number, because the mean of its divisors is an integer number (74868080).

Almost surely, 22229940860 is an apocalyptic number.

2229940860 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 2229940860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593667840).

2229940860 is an abundant number, since it is smaller than the sum of its proper divisors (4957394820).

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

2229940860 is a wasteful number, since it uses less digits than its factorization.

2229940860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38355 (or 38353 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2229940860 is about 47222.2496287502. The cubic root of 2229940860 is about 1306.4650067395.

The spelling of 2229940860 in words is "two billion, two hundred twenty-nine million, nine hundred forty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 556 695 834 973 1390 1668 1946 2085 2780 2919 3892 4170 4865 5838 8340 9730 11676 14595 19460 29190 38197 58380 76394 114591 152788 190985 229182 267379 381970 458364 534758 572955 763940 802137 1069516 1145910 1336895 1604274 2291820 2673790 3208548 4010685 5309383 5347580 8021370 10618766 15928149 16042740 21237532 26546915 31856298 37165681 53093830 63712596 74331362 79640745 106187660 111497043 148662724 159281490 185828405 222994086 318562980 371656810 445988172 557485215 743313620 1114970430 2229940860