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2233464928 = 252983107271
BaseRepresentation
bin1000010100011111…
…1111100001100000
312202122122202220021
42011013333201200
514033231334203
61005342523224
7106230065362
oct20507774140
95678582807
102233464928
11a46807292
12523b96514
1329794a7a6
141728acd32
15d112c5bd
hex851ff860

2233464928 has 96 divisors (see below), whose sum is σ = 4663733760. Its totient is φ = 1051384320.

The previous prime is 2233464923. The next prime is 2233464971. The reversal of 2233464928 is 8294643322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233464923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8241433 + ... + 8241703.

It is an arithmetic number, because the mean of its divisors is an integer number (48580560).

Almost surely, 22233464928 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 2233464928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331866880).

2233464928 is an abundant number, since it is smaller than the sum of its proper divisors (2430268832).

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

2233464928 is a wasteful number, since it uses less digits than its factorization.

2233464928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its digits is 497664, while the sum is 43.

The square root of 2233464928 is about 47259.5485378352. The cubic root of 2233464928 is about 1307.1528647896.

The spelling of 2233464928 in words is "two billion, two hundred thirty-three million, four hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 83 107 116 166 214 232 271 332 428 464 542 664 856 928 1084 1328 1712 2168 2407 2656 3103 3424 4336 4814 6206 7859 8672 8881 9628 12412 15718 17762 19256 22493 24824 28997 31436 35524 38512 44986 49648 57994 62872 71048 77024 89972 99296 115988 125744 142096 179944 231976 251488 257549 284192 359888 463952 515098 652297 719776 840913 927904 1030196 1304594 1681826 2060392 2406751 2609188 3363652 4120784 4813502 5218376 6727304 8241568 9627004 10436752 13454608 19254008 20873504 26909216 38508016 69795779 77016032 139591558 279183116 558366232 1116732464 2233464928