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2233200112 = 24111319471093
BaseRepresentation
bin1000010100011011…
…1110110111110000
312202122011022122021
42011012332313300
514033144400422
61005333121224
7106224613333
oct20506766760
95678138567
102233200112
11a46646330
12523a89214
132978870b0
1417284061a
15d10c8dc7
hex851bedf0

2233200112 has 160 divisors (see below), whose sum is σ = 5469649920. Its totient is φ = 868008960.

The previous prime is 2233200107. The next prime is 2233200127. The reversal of 2233200112 is 2110023322.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 31 ways as a sum of consecutive naturals, for example, 2042638 + ... + 2043730.

It is an arithmetic number, because the mean of its divisors is an integer number (34185312).

Almost surely, 22233200112 is an apocalyptic number.

2233200112 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 2233200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734824960).

2233200112 is an abundant number, since it is smaller than the sum of its proper divisors (3236449808).

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

2233200112 is a wasteful number, since it uses less digits than its factorization.

2233200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2233200112 is about 47256.7467352546. The cubic root of 2233200112 is about 1307.1012008674.

Adding to 2233200112 its reverse (2110023322), we get a palindrome (4343223434).

The spelling of 2233200112 in words is "two billion, two hundred thirty-three million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 47 52 76 88 94 104 143 152 176 188 208 209 247 286 304 376 418 494 517 572 611 752 836 893 988 1034 1093 1144 1222 1672 1786 1976 2068 2186 2288 2444 2717 3344 3572 3952 4136 4372 4888 5434 6721 7144 8272 8744 9776 9823 10868 11609 12023 13442 14209 14288 17488 19646 20767 21736 23218 24046 26884 28418 39292 41534 43472 46436 48092 51371 53768 56836 78584 83068 92872 96184 102742 107536 113672 127699 156299 157168 166136 185744 192368 205484 227344 228437 255398 269971 312598 332272 410968 456874 510796 539942 565081 625196 667823 821936 913748 976049 1021592 1079884 1130162 1250392 1335646 1827496 1952098 2043184 2159768 2260324 2500784 2671292 2969681 3654992 3904196 4319536 4520648 5342584 5939362 7346053 7808392 9041296 10685168 10736539 11878724 12688637 14692106 15616784 21473078 23757448 25377274 29384212 42946156 47514896 50754548 58768424 85892312 101509096 117536848 139575007 171784624 203018192 279150014 558300028 1116600056 2233200112