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2298962432 = 291321632
BaseRepresentation
bin1000100100000111…
…0110001000000000
312221012220101120202
42021001312020000
514202013244212
61020042424332
7110653600244
oct21101661000
95835811522
102298962432
11a7a782558
12541b020a8
132a83a0b00
1417b47c424
15d6c690c2
hex89076200

2298962432 has 90 divisors (see below), whose sum is σ = 5004658197. Its totient is φ = 1054550016.

The previous prime is 2298962429. The next prime is 2298962453. The reversal of 2298962432 is 2342698922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1965680896 + 333281536 = 44336^2 + 18256^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33904.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14103983 + ... + 14104145.

Almost surely, 22298962432 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 2298962432

2298962432 is an abundant number, since it is smaller than the sum of its proper divisors (2705695765).

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

2298962432 is an frugal number, since it uses more digits than its factorization.

2298962432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 178 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 2298962432 is about 47947.4966186974. The cubic root of 2298962432 is about 1319.8075997506.

The spelling of 2298962432 in words is "two billion, two hundred ninety-eight million, nine hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 163 169 208 256 326 338 416 512 652 676 832 1304 1352 1664 2119 2608 2704 3328 4238 5216 5408 6656 8476 10432 10816 16952 20864 21632 26569 27547 33904 41728 43264 53138 55094 67808 83456 86528 106276 110188 135616 212552 220376 271232 345397 425104 440752 542464 690794 850208 881504 1084928 1381588 1700416 1763008 2763176 3400832 3526016 4490161 5526352 6801664 7052032 8980322 11052704 13603328 14104064 17960644 22105408 35921288 44210816 71842576 88421632 143685152 176843264 287370304 574740608 1149481216 2298962432