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213254198448 = 243113191205847
BaseRepresentation
bin1100011010011011110…
…0001101010010110000
3202101110001101201200020
43012212330031102300
511443221033322243
6241545001323440
721256431530664
oct3064674152260
9671401351606
10213254198448
1182493487715
12353b6496580
1317157273555
14a4704da8a4
155831d89283
hex31a6f0d4b0

213254198448 has 80 divisors (see below), whose sum is σ = 558694526976. Its totient is φ = 70086446080.

The previous prime is 213254198447. The next prime is 213254198449. The reversal of 213254198448 is 844891452312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213254198447) and next prime (213254198449).

It is a self number, because there is not a number n which added to its sum of digits gives 213254198448.

It is not an unprimeable number, because it can be changed into a prime (213254198447) 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, 933061 + ... + 1138907.

Almost surely, 2213254198448 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 213254198448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279347263488).

213254198448 is an abundant number, since it is smaller than the sum of its proper divisors (345440328528).

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

213254198448 is a wasteful number, since it uses less digits than its factorization.

213254198448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206162 (or 206156 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 213254198448 in words is "two hundred thirteen billion, two hundred fifty-four million, one hundred ninety-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 191 226 339 382 452 573 678 764 904 1146 1356 1528 1808 2292 2712 3056 4584 5424 9168 21583 43166 64749 86332 129498 172664 205847 258996 345328 411694 517992 617541 823388 1035984 1235082 1646776 2470164 3293552 4940328 9880656 23260711 39316777 46521422 69782133 78633554 93042844 117950331 139564266 157267108 186085688 235900662 279128532 314534216 372171376 471801324 558257064 629068432 943602648 1116514128 1887205296 4442795801 8885591602 13328387403 17771183204 26656774806 35542366408 53313549612 71084732816 106627099224 213254198448