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193201424 = 24131923183
BaseRepresentation
bin10111000010000…
…00010100010000
3111110112122112022
423201000110100
5343424421144
631100551012
74534120313
oct1341002420
9443478468
10193201424
119a06a0a9
1254852468
1331046990
141b93297a
1511e64cee
hexb840510

193201424 has 120 divisors (see below), whose sum is σ = 444471552. Its totient is φ = 80766720.

The previous prime is 193201409. The next prime is 193201427. The reversal of 193201424 is 424102391.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 193201393 and 193201402.

It is not an unprimeable number, because it can be changed into a prime (193201427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2327687 + ... + 2327769.

Almost surely, 2193201424 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 193201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222235776).

193201424 is an abundant number, since it is smaller than the sum of its proper divisors (251270128).

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

193201424 is a wasteful number, since it uses less digits than its factorization.

193201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 193201424 is about 13899.6915073681. The cubic root of 193201424 is about 578.1006278267.

The spelling of 193201424 in words is "one hundred ninety-three million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 83 104 124 152 166 208 247 248 304 332 361 403 494 496 589 664 722 806 988 1079 1178 1328 1444 1577 1612 1976 2158 2356 2573 2888 3154 3224 3952 4316 4693 4712 5146 5776 6308 6448 7657 8632 9386 9424 10292 11191 12616 15314 17264 18772 20501 20584 22382 25232 29963 30628 33449 37544 41002 41168 44764 48887 59926 61256 66898 75088 82004 89528 97774 119852 122512 133796 145483 164008 179056 195548 239704 267592 290966 328016 389519 391096 479408 535184 581932 635531 779038 782192 928853 1163864 1271062 1558076 1857706 2327728 2542124 3116152 3715412 5084248 6232304 7430824 10168496 12075089 14861648 24150178 48300356 96600712 193201424