Search a number
-
+
23024196 = 22331323231
BaseRepresentation
bin101011111010…
…1001001000100
31121022202021000
41113311021010
521343233241
62141253300
7366462636
oct127651104
947282230
1023024196
1111aa6468
127864230
134a01ab0
1430b4a56
15204beb6
hex15f5244

23024196 has 144 divisors (see below), whose sum is σ = 69368320. Its totient is φ = 6557760.

The previous prime is 23024191. The next prime is 23024201. The reversal of 23024196 is 69142032.

It is an interprime number because it is at equal distance from previous prime (23024191) and next prime (23024201).

It is a super-2 number, since 2×230241962 = 1060227202892832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23024191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742701 + ... + 742731.

Almost surely, 223024196 is an apocalyptic number.

23024196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23024196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34684160).

23024196 is an abundant number, since it is smaller than the sum of its proper divisors (46344124).

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

23024196 is a wasteful number, since it uses less digits than its factorization.

23024196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23024196 is about 4798.3534675970. The cubic root of 23024196 is about 284.4863879708.

It can be divided in two parts, 23024 and 196, that added together give a triangular number (23220 = T215).

The spelling of 23024196 in words is "twenty-three million, twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 31 36 39 46 52 54 62 69 78 92 93 108 117 124 138 156 186 207 234 276 279 299 351 372 403 414 468 529 558 598 621 702 713 806 828 837 897 1058 1116 1196 1209 1242 1404 1426 1587 1612 1674 1794 2116 2139 2418 2484 2691 2852 3174 3348 3588 3627 4278 4761 4836 5382 6348 6417 6877 7254 8073 8556 9269 9522 10764 10881 12834 13754 14283 14508 16146 16399 18538 19044 19251 20631 21762 25668 27508 27807 28566 32292 32798 37076 38502 41262 43524 49197 55614 57132 61893 65596 77004 82524 83421 98394 111228 123786 147591 166842 185679 196788 213187 247572 250263 295182 333684 371358 426374 442773 500526 590364 639561 742716 852748 885546 1001052 1279122 1771092 1918683 2558244 3837366 5756049 7674732 11512098 23024196