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2232077040 = 243351033369
BaseRepresentation
bin1000010100001010…
…1100101011110000
312202120001021002000
42011002230223300
514032402431130
61005253054000
7106212225144
oct20502545360
95676037060
102232077040
11a45a49576
12523627300
13297582b5b
1417262b224
15d0e56260
hex850acaf0

2232077040 has 80 divisors (see below), whose sum is σ = 7688272800. Its totient is φ = 595219968.

The previous prime is 2232077027. The next prime is 2232077083. The reversal of 2232077040 is 407702322.

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

It is a super-3 number, since 3×22320770403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2232076995 and 2232077013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514525 + ... + 518844.

It is an arithmetic number, because the mean of its divisors is an integer number (96103410).

Almost surely, 22232077040 is an apocalyptic number.

2232077040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232077040 is an abundant number, since it is smaller than the sum of its proper divisors (5456195760).

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

2232077040 is a wasteful number, since it uses less digits than its factorization.

2232077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033391 (or 1033379 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2232077040 is about 47244.8625778507. The cubic root of 2232077040 is about 1306.8820512414.

Adding to 2232077040 its reverse (407702322), we get a palindrome (2639779362).

The spelling of 2232077040 in words is "two billion, two hundred thirty-two million, seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1033369 2066738 3100107 4133476 5166845 6200214 8266952 9300321 10333690 12400428 15500535 16533904 18600642 20667380 24800856 27900963 31001070 37201284 41334760 46501605 49601712 55801926 62002140 74402568 82669520 93003210 111603852 124004280 139504815 148805136 186006420 223207704 248008560 279009630 372012840 446415408 558019260 744025680 1116038520 2232077040