Search a number
-
+
97226784 = 2533432617
BaseRepresentation
bin1011100101110…
…01000000100000
320202221122002000
411302321000200
5144342224114
613351524000
72260262004
oct562710040
9222848060
1097226784
114a977a16
1228689600
13171b2455
14ccac704
158807e09
hex5cb9020

97226784 has 96 divisors (see below), whose sum is σ = 290283840. Its totient is φ = 31643136.

The previous prime is 97226771. The next prime is 97226807. The reversal of 97226784 is 48762279.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35844 + ... + 38460.

It is an arithmetic number, because the mean of its divisors is an integer number (3023790).

Almost surely, 297226784 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 97226784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145141920).

97226784 is an abundant number, since it is smaller than the sum of its proper divisors (193057056).

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

97226784 is a wasteful number, since it uses less digits than its factorization.

97226784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2665 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 97226784 is about 9860.3642934731. The cubic root of 97226784 is about 459.8278877219.

The spelling of 97226784 in words is "ninety-seven million, two hundred twenty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 2617 3096 4128 4644 5234 6192 7851 9288 10468 12384 15702 18576 20936 23553 31404 37152 41872 47106 62808 70659 83744 94212 112531 125616 141318 188424 225062 251232 282636 337593 376848 450124 565272 675186 753696 900248 1012779 1130544 1350372 1800496 2025558 2261088 2700744 3038337 3600992 4051116 5401488 6076674 8102232 10802976 12153348 16204464 24306696 32408928 48613392 97226784