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230421467328 = 26313570116193
BaseRepresentation
bin1101011010011000110…
…0001001000011000000
3211000202110122100100120
43112212030021003000
512233400343423303
6253504255420240
722435026104403
oct3264614110300
9730673570316
10230421467328
11897a2a02938
12387a7824680
1318961b00b10
14b21c4bbd3a
155ed90a2553
hex35a63090c0

230421467328 has 112 divisors (see below), whose sum is σ = 656709193056. Its totient is φ = 70882099200.

The previous prime is 230421467327. The next prime is 230421467383. The reversal of 230421467328 is 823764124032.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 230421467328.

It is not an unprimeable number, because it can be changed into a prime (230421467323) 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, 14221600 + ... + 14237792.

It is an arithmetic number, because the mean of its divisors is an integer number (5863474938).

Almost surely, 2230421467328 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 230421467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328354596528).

230421467328 is an abundant number, since it is smaller than the sum of its proper divisors (426287725728).

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

230421467328 is a wasteful number, since it uses less digits than its factorization.

230421467328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21922 (or 21912 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 230421467328 in words is "two hundred thirty billion, four hundred twenty-one million, four hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 5701 11402 16193 17103 22804 32386 34206 45608 48579 64772 68412 74113 91216 97158 129544 136824 148226 182432 194316 210509 222339 259088 273648 296452 364864 388632 421018 444678 518176 547296 592904 631527 777264 842036 889356 1036352 1094592 1185808 1263054 1554528 1684072 1778712 2371616 2526108 3109056 3368144 3557424 4743232 5052216 6736288 7114848 10104432 13472576 14229696 20208864 40417728 92316293 184632586 276948879 369265172 553897758 738530344 1107795516 1200111809 1477060688 2215591032 2400223618 2954121376 3600335427 4431182064 4800447236 5908242752 7200670854 8862364128 9600894472 14401341708 17724728256 19201788944 28802683416 38403577888 57605366832 76807155776 115210733664 230421467328