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193193424 = 2434149069
BaseRepresentation
bin10111000001111…
…10010111010000
3111110112020120000
423200332113100
5343424142144
631100450000
74534055064
oct1340762720
9443466500
10193193424
119a064096
1254849900
1331043148
141b92daa4
1511e62769
hexb83e5d0

193193424 has 50 divisors (see below), whose sum is σ = 559161570. Its totient is φ = 64397376.

The previous prime is 193193393. The next prime is 193193467. The reversal of 193193424 is 424391391.

193193424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 158760000 + 34433424 = 12600^2 + 5868^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 73239 + ... + 75830.

Almost surely, 2193193424 is an apocalyptic number.

It is an amenable number.

193193424 is an abundant number, since it is smaller than the sum of its proper divisors (365968146).

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

193193424 is a wasteful number, since it uses less digits than its factorization.

193193424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149089 (or 149074 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 193193424 is about 13899.4037282180. The cubic root of 193193424 is about 578.0926484706.

The spelling of 193193424 in words is "one hundred ninety-three million, one hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 149069 298138 447207 596276 894414 1192552 1341621 1788828 2385104 2683242 3577656 4024863 5366484 7155312 8049726 10732968 12074589 16099452 21465936 24149178 32198904 48298356 64397808 96596712 193193424