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2200493312 = 287321613
BaseRepresentation
bin1000001100101000…
…1101110100000000
312200100121122100022
42003022031310000
514001311241222
61002204113012
7105346612253
oct20312156400
95610548308
102200493312
11a2a137216
12514b35768
13290b75064
1416c36909a
15cd2b8042
hex8328dd00

2200493312 has 54 divisors (see below), whose sum is σ = 4456145862. Its totient is φ = 1084502016.

The previous prime is 2200493249. The next prime is 2200493353. The reversal of 2200493312 is 2133940022.

It can be written as a sum of positive squares in 3 ways, for example, as 550183936 + 1650309376 = 23456^2 + 40624^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1363418 + ... + 1365030.

Almost surely, 22200493312 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 2200493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228072931).

2200493312 is an abundant number, since it is smaller than the sum of its proper divisors (2255652550).

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

2200493312 is an frugal number, since it uses more digits than its factorization.

2200493312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2200493312 is about 46909.4160270622. The cubic root of 2200493312 is about 1300.6886513087.

The spelling of 2200493312 in words is "two billion, two hundred million, four hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 1613 2336 3226 4672 5329 6452 9344 10658 12904 18688 21316 25808 42632 51616 85264 103232 117749 170528 206464 235498 341056 412928 470996 682112 941992 1364224 1883984 3767968 7535936 8595677 15071872 17191354 30143744 34382708 68765416 137530832 275061664 550123328 1100246656 2200493312