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2189779956 = 2232713757883
BaseRepresentation
bin1000001010000101…
…0110001111110100
312122121110100101100
42002201112033310
513441040424311
61001142330100
7105156552060
oct20241261764
95577410340
102189779956
11a2408a101
12511429930
1328b8938b0
1416ab7aaa0
15cc39da56
hex828563f4

2189779956 has 144 divisors (see below), whose sum is σ = 6829373824. Its totient is φ = 576108288.

The previous prime is 2189779939. The next prime is 2189779957. The reversal of 2189779956 is 6599779812.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2189779893 and 2189779902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189779957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2479491 + ... + 2480373.

Almost surely, 22189779956 is an apocalyptic number.

2189779956 is a gapful number since it is divisible by the number (26) 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 2189779956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414686912).

2189779956 is an abundant number, since it is smaller than the sum of its proper divisors (4639593868).

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

2189779956 is a wasteful number, since it uses less digits than its factorization.

2189779956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1665 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The square root of 2189779956 is about 46795.0847418829. The cubic root of 2189779956 is about 1298.5743653658.

The spelling of 2189779956 in words is "two billion, one hundred eighty-nine million, seven hundred seventy-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 757 819 883 1092 1514 1638 1766 2271 2649 3028 3276 3532 4542 5298 5299 6181 6813 7947 9084 9841 10596 10598 11479 12362 13626 15894 15897 18543 19682 21196 22958 24724 27252 29523 31788 31794 34437 37086 39364 45916 47691 55629 59046 63588 68874 68887 74172 80353 88569 95382 103311 111258 118092 137748 137774 160706 177138 190764 206622 206661 222516 241059 275548 321412 354276 413244 413322 482118 619983 668431 723177 826644 964236 1239966 1336862 1446354 2005293 2479932 2673724 2892708 4010586 4679017 6015879 8021172 8689603 9358034 12031758 14037051 17379206 18716068 24063516 26068809 28074102 34758412 42111153 52137618 56148204 60827221 78206427 84222306 104275236 121654442 156412854 168444612 182481663 243308884 312825708 364963326 547444989 729926652 1094889978 2189779956