Search a number
-
+
97133814 = 232191911487
BaseRepresentation
bin1011100101000…
…10010011110110
320202202220112200
411302202103312
5144331240224
613345525330
72256423651
oct562422366
9222686480
1097133814
114a914088
1228643846
131717c03b
14cc86898
1587da5c9
hex5ca24f6

97133814 has 48 divisors (see below), whose sum is σ = 222842880. Its totient is φ = 30492720.

The previous prime is 97133809. The next prime is 97133857. The reversal of 97133814 is 41833179.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64579 + ... + 66065.

It is an arithmetic number, because the mean of its divisors is an integer number (4642560).

Almost surely, 297133814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97133814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

97133814 is an abundant number, since it is smaller than the sum of its proper divisors (125709066).

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

97133814 is a wasteful number, since it uses less digits than its factorization.

97133814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1702 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 97133814 is about 9855.6488370883. The cubic root of 97133814 is about 459.6812757481.

The spelling of 97133814 in words is "ninety-seven million, one hundred thirty-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 191 342 382 573 1146 1487 1719 2974 3438 3629 4461 7258 8922 10887 13383 21774 26766 28253 32661 56506 65322 84759 169518 254277 284017 508554 568034 852051 1704102 2556153 5112306 5396323 10792646 16188969 32377938 48566907 97133814