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2241035388 = 2232374735797
BaseRepresentation
bin1000010110010011…
…0111110001111100
312210011220101121200
42011210313301330
514042201113023
61010213055500
7106351325604
oct20544676174
95704811550
102241035388
11a50008069
12526627590
1329939b557
141738bdc04
15d1b25743
hex85937c7c

2241035388 has 72 divisors (see below), whose sum is σ = 5941895232. Its totient is φ = 711338112.

The previous prime is 2241035371. The next prime is 2241035393. The reversal of 2241035388 is 8835301422.

2241035388 is a `hidden beast` number, since 2 + 241 + 0 + 35 + 388 = 666.

It is a super-2 number, since 2×22410353882 = 10044479220536621088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44706 + ... + 80502.

Almost surely, 22241035388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241035388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970947616).

2241035388 is an abundant number, since it is smaller than the sum of its proper divisors (3700859844).

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

2241035388 is a wasteful number, since it uses less digits than its factorization.

2241035388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35891 (or 35886 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2241035388 is about 47339.5752832659. The cubic root of 2241035388 is about 1308.6280896178.

The spelling of 2241035388 in words is "two billion, two hundred forty-one million, thirty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 333 423 444 564 666 846 1332 1692 1739 3478 5217 6956 10434 15651 20868 31302 35797 62604 71594 107391 143188 214782 322173 429564 644346 1288692 1324489 1682459 2648978 3364918 3973467 5047377 5297956 6729836 7946934 10094754 11920401 15142131 15893868 20189508 23840802 30284262 47681604 60568524 62250983 124501966 186752949 249003932 373505898 560258847 747011796 1120517694 2241035388