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2230193152 = 210111271559
BaseRepresentation
bin1000010011101110…
…0000110000000000
312202102111112212101
42010323200300000
514031412140102
61005144440144
7106160220565
oct20473406000
95672445771
102230193152
11a44982140
12522a79054
13297073525
1417229a86c
15d0bd2e87
hex84ee0c00

2230193152 has 88 divisors (see below), whose sum is σ = 4904939520. Its totient is φ = 1005096960.

The previous prime is 2230193107. The next prime is 2230193159. The reversal of 2230193152 is 2513910322.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×22301931522 = 9947522990455390208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2230193152.

It is not an unprimeable number, because it can be changed into a prime (2230193159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429749 + ... + 1431307.

Almost surely, 22230193152 is an apocalyptic number.

2230193152 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 2230193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452469760).

2230193152 is an abundant number, since it is smaller than the sum of its proper divisors (2674746368).

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

2230193152 is a wasteful number, since it uses less digits than its factorization.

2230193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 2230193152 is about 47224.9208787056. The cubic root of 2230193152 is about 1306.5142753465.

The spelling of 2230193152 in words is "two billion, two hundred thirty million, one hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 256 352 508 512 704 1016 1024 1397 1408 1559 2032 2794 2816 3118 4064 5588 5632 6236 8128 11176 11264 12472 16256 17149 22352 24944 32512 34298 44704 49888 65024 68596 89408 99776 130048 137192 178816 197993 199552 274384 357632 395986 399104 548768 715264 791972 798208 1097536 1430528 1583944 1596416 2177923 2195072 3167888 4355846 4390144 6335776 8711692 8780288 12671552 17423384 17560576 25343104 34846768 50686208 69693536 101372416 139387072 202744832 278774144 557548288 1115096576 2230193152