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2190685332 = 22311196713037
BaseRepresentation
bin1000001010010011…
…0011010010010100
312122200011100022210
42002210303102110
513441303412312
61001213553420
7105200342463
oct20244632224
95580140283
102190685332
11a24648350
125117a5870
1328bb1ca14
1416ad349da
15cc4cbe3c
hex82933494

2190685332 has 96 divisors (see below), whose sum is σ = 5957844480. Its totient is φ = 619470720.

The previous prime is 2190685319. The next prime is 2190685337. The reversal of 2190685332 is 2335860912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190685337) 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, 161518 + ... + 174554.

It is an arithmetic number, because the mean of its divisors is an integer number (62060880).

Almost surely, 22190685332 is an apocalyptic number.

2190685332 is a gapful number since it is divisible by the number (22) 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 2190685332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978922240).

2190685332 is an abundant number, since it is smaller than the sum of its proper divisors (3767159148).

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

2190685332 is a wasteful number, since it uses less digits than its factorization.

2190685332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13141 (or 13139 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2190685332 is about 46804.7575786907. The cubic root of 2190685332 is about 1298.7533081656.

The spelling of 2190685332 in words is "two billion, one hundred ninety million, six hundred eighty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 67 76 114 132 134 201 209 228 268 402 418 627 737 804 836 1254 1273 1474 2211 2508 2546 2948 3819 4422 5092 7638 8844 13037 14003 15276 26074 28006 39111 42009 52148 56012 78222 84018 143407 156444 168036 247703 286814 430221 495406 573628 743109 860442 873479 990812 1486218 1720884 1746958 2620437 2724733 2972436 3493916 5240874 5449466 8174199 9608269 10481748 10898932 16348398 16596101 19216538 28824807 32696796 33192202 38433076 49788303 57649614 66384404 99576606 115299228 182557111 199153212 365114222 547671333 730228444 1095342666 2190685332